顶部
  1. 首页
  2. 图书产品
  3. Riemann曲面的模空间（影印版）
收藏

Riemann曲面的模空间（影印版）

样章
作者：
Benson Farb，Richard Hain，Eduard Looijenga 编
定价：
169.00 元
版面字数：
620千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次
印刷时间：
2023年
ISBN：
978-7-04-059309-9
物料号：
59309-00
出版时间：
2023-03-23
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
几何学
暂无
  • 目录
    • 前辅文
      • Benson Farb, Richard Hain, and Eduard Looijenga Introduction
        • Yair N. Minsky A Brief Introduction to Mapping Class Groups
          • 1. Definitions, examples, basic structure
            • 2. Hyperbolic geometry, laminations and foliations
              • 3. The Nielsen-Thurston classification theorem
                • 4. Classification continued, and consequences
                  • 5. Further reading and current events
                    • Bibliography
                    • Ursula Hamenst¨adt Teichm¨uller Theory
                      • Introduction
                        • Lecture 1. Hyperbolic surfaces
                          • Lecture 2. Quasiconformal maps
                            • Lecture 3. Complex structures, Jacobians and the Weil Petersson form
                              • Lecture 4. The curve graph and the augmented Teichm¨uller space
                                • Lecture 5. Geometry and dynamics of moduli space
                                  • Bibliography
                                  • Nathalie Wahl The Mumford Conjecture, Madsen-Weiss and Homological Stability for Mapping Class Groups of Surfaces
                                    • Introduction
                                      • Lecture 1. The Mumford conjecture and the Madsen-Weiss theorem
                                        • 1. The Mumford conjecture
                                          • 2. Moduli space, mapping class groups and diffeomorphism groups
                                            • 3. The Mumford-Morita-Miller classes
                                              • 4. Homological stability
                                                • 5. The Madsen-Weiss theorem
                                                  • 6. Exercises
                                                  • Lecture 2. Homological stability: geometric ingredients
                                                    • 1. General strategy of proof
                                                      • 2. The case of the mapping class group of surfaces
                                                        • 3. The ordered arc complex
                                                          • 4. Curve complexes and disc spaces
                                                            • 5. Exercises
                                                            • Lecture 3. Homological stability: the spectral sequence argument
                                                              • 1. Double complexes associated to actions on simplicial complexes
                                                                • 2. The spectral sequence associated to the horizontal filtration
                                                                  • 3. The spectral sequence associated to the vertical filtration
                                                                    • 4. The proof of stability for surfaces with boundaries
                                                                      • 5. Closing the boundaries
                                                                        • 6. Exercises
                                                                        • Lecture 4. Homological stability: the connectivity argument
                                                                          • 1. Strategy for computing the connectivity of the ordered arc complex
                                                                            • 2. Contractibility of the full arc complex
                                                                              • 3. Deducing connectivity of smaller complexes
                                                                                • 4. Exercises
                                                                                  • Bibliography
                                                                                • Soren Galatius Lectures on the Madsen–Weiss Theorem
                                                                                  • Lecture 1. Spaces of submanifolds and the Madsen–Weiss Theorem
                                                                                    • 1.1. Spaces of manifolds
                                                                                      • 1.2. Exercises for Lecture 1
                                                                                      • Lecture 2. Rational cohomology and outline of proof
                                                                                        • 2.1. Cohomology of Ω∞Ψ
                                                                                          • 2.2. Outline of proof
                                                                                            • 2.3. Exercises for Lecture 2
                                                                                            • Lecture 3. Topological monoids and the first part of the proof
                                                                                              • 3.1. Topological monoids
                                                                                                • 3.2. Exercises for Lecture 3
                                                                                                • Lecture 4. Final step of the proof
                                                                                                  • 4.1. Proof of theorem 4.3
                                                                                                    • 4.2. Exercises for Lecture 4
                                                                                                    • Bibliography
                                                                                                    • Andrew Putman The Torelli Group and Congruence Subgroups of the Mapping Class Group
                                                                                                      • Introduction
                                                                                                        • Lecture 1. The Torelli group
                                                                                                          • Lecture 2. The Johnson homomorphism
                                                                                                            • Lecture 3. The abelianization of Modg,n(p)
                                                                                                              • Lecture 4. The second rational homology group of Modg(p)
                                                                                                                • Bibliography
                                                                                                                • Carel Faber Tautological Algebras of Moduli Spaces of Curves
                                                                                                                  • Introduction
                                                                                                                    • Lecture 1. The tautological ring of Mg
                                                                                                                      • Exercises
                                                                                                                      • Lecture 2. The tautological rings of Mg,n and of some natural partial compactifications of Mg,n
                                                                                                                        • Exercises
                                                                                                                        • Bibliography
                                                                                                                        • Scott A. Wolpert Mirzakhani’s Volume Recursion and Approach for the Witten-Kontsevich Theorem on Moduli Tautological Intersection Numbers
                                                                                                                          • Prelude
                                                                                                                            • Lecture 1. The background and overview
                                                                                                                              • Lecture 2. The McShane-Mirzakhani identity
                                                                                                                                • Lecture 3. The covolume formula and recursion
                                                                                                                                  • Lecture 4. Symplectic reduction, principal S1 bundles and the normal form
                                                                                                                                    • Lecture 5. The pattern of intersection numbers and Witten-Kontsevich
                                                                                                                                      • Questions for the problem sessions
                                                                                                                                        • Bibliography
                                                                                                                                        • Martin M¨oller Teichm¨uller Curves, Mainly from the Viewpoint of Algebraic Geometry
                                                                                                                                          • 1. Introduction
                                                                                                                                            • 2. Flat surfaces and SL2(R)-action
                                                                                                                                              • 2.1. Flat surfaces and translation structures
                                                                                                                                                • 2.2. Affine groups and the trace field
                                                                                                                                                  • 2.3. Strata of ΩMg and hyperelliptic loci
                                                                                                                                                    • 2.4. Spin structures and connected components of strata
                                                                                                                                                      • 2.5. Stable differentials and Deligne-Mumford compactification
                                                                                                                                                      • 3. Curves and divisors in Mg
                                                                                                                                                        • 3.1. Curves and fibered surfaces
                                                                                                                                                          • 3.2. Picard groups of moduli spaces
                                                                                                                                                            • 3.3. Special divisors on moduli spaces
                                                                                                                                                              • 3.4. Slopes of divisors and of curves in Mg
                                                                                                                                                              • 4. Variation of Hodge structures and real multiplication
                                                                                                                                                                • 4.1. Hilbert modular varieties and the locus of real multiplication
                                                                                                                                                                  • 4.2. Examples
                                                                                                                                                                  • 5. Teichm¨uller curves
                                                                                                                                                                    • 5.1. Square-tiled surfaces and primitivity
                                                                                                                                                                      • 5.2. The VHS of T curves
                                                                                                                                                                        • 5.3. Proof of the VHS decomposition and real multiplication
                                                                                                                                                                          • 5.4. Cusps and sections of T curves
                                                                                                                                                                            • 5.5. The classification problem of T curves: state of the art
                                                                                                                                                                            • 6. Lyapunov exponents
                                                                                                                                                                              • 6.1. Motivation: Asymptotic cycles, deviations and the wind-tree model
                                                                                                                                                                                • 6.2. Lyapunov exponents
                                                                                                                                                                                  • 6.3. Lyapunov exponents for Teichm¨uller curves
                                                                                                                                                                                    • 6.4. Non-varying properties for sums of Lyapunov exponents
                                                                                                                                                                                      • 6.5. Lyapunov exponents for general curves in Mg and in Ag
                                                                                                                                                                                        • 6.6. Known results and open problems
                                                                                                                                                                                        • Bibliography
                                                                                                                                                                                        • Makoto Matsumoto Introduction to arithmetic mapping class groups
                                                                                                                                                                                          • Introduction
                                                                                                                                                                                            • Lecture 1. Algebraic fundamental groups
                                                                                                                                                                                              • Lecture 2. Monodromy representation on fundamental groups
                                                                                                                                                                                                • Lecture 3. Arithmetic mapping class groups
                                                                                                                                                                                                  • Lecture 4. Topology versus arithmetic
                                                                                                                                                                                                    • Lecture 5. The conjectures of Oda and Deligne-Ihara
                                                                                                                                                                                                      • APPENDIX: Algebraic fundamental groups via fiber functors
                                                                                                                                                                                                        • Bibliography

                                                                                                                                                                                                      相关图书

                                                                                                                                                                                                      现代几何学：方法与应用 (第一卷) 几何曲面、变换群与场 (第5版)

                                                                                                                                                                                                      杜布洛文, 诺维可夫, 福明柯 著

                                                                                                                                                                                                      48.10 元 收藏

                                                                                                                                                                                                      Variational Principles for Discrete Surfaces (离散曲面的变分原理)

                                                                                                                                                                                                      罗锋 戴俊飞 顾险峰

                                                                                                                                                                                                      26.00 元 收藏

                                                                                                                                                                                                      微分几何—— 流形、曲线和曲面 （第二版修订本）

                                                                                                                                                                                                      M.贝尔热 B.戈斯丢

                                                                                                                                                                                                      68.00 元 收藏

                                                                                                                                                                                                      微分几何—— 流形、曲线和曲面 （第二版修订本）

                                                                                                                                                                                                      M.贝尔热， B.戈斯丢

                                                                                                                                                                                                      89.00 元 收藏

                                                                                                                                                                                                      现代极小曲面讲义

                                                                                                                                                                                                      Frederico Xavier , 潮小李

                                                                                                                                                                                                      32.00 元 收藏

                                                                                                                                                                                                      现代几何学：方法与应用(第一卷)曲面几何、变换群与场(变更封面)

                                                                                                                                                                                                      Б. А. 杜布洛文 等

                                                                                                                                                                                                      59.00 元 收藏

                                                                                                                                                                                                      曲面的一般研究(1827年和1825年)（英文版）

                                                                                                                                                                                                      Carl Friedrich Gauss（高斯）

                                                                                                                                                                                                      69.00 元 收藏

                                                                                                                                                                                                      Complex Geometry from Riemann to Kähler-Einstein and Calabi-Yau(从黎曼到凯勒-爱因斯坦和卡拉比-

                                                                                                                                                                                                      季理真

                                                                                                                                                                                                      168.00 元 收藏

                                                                                                                                                                                                      方程组实数解的几何方法（影印版）

                                                                                                                                                                                                      Frank Sottile

                                                                                                                                                                                                      199.00 元 收藏

                                                                                                                                                                                                      解析几何与代数几何：相同问题，不同方法（影印版）

                                                                                                                                                                                                      Jeffery McNeal, Mircea Mustaţă

                                                                                                                                                                                                      199.00 元 收藏

                                                                                                                                                                                                      矩映射、配边和Hamilton群作用（影印版）

                                                                                                                                                                                                      Victor Guillemin, Viktor Ginzburg, Yael Karshon

                                                                                                                                                                                                      169.00 元 收藏

                                                                                                                                                                                                      约化p进群上的容许不变分布（影印版）

                                                                                                                                                                                                      Harish-Chandra

                                                                                                                                                                                                      67.00 元 收藏

                                                                                                                                                                                                      混合 Motives（影印版）

                                                                                                                                                                                                      Marc Levine

                                                                                                                                                                                                      199.00 元 收藏

                                                                                                                                                                                                      非欧几何，第六版（影印版）

                                                                                                                                                                                                      H. S. M. Coxeter

                                                                                                                                                                                                      169.00 元 收藏

                                                                                                                                                                                                      微分几何: 曲线、曲面和流形（第三版）（影印版）

                                                                                                                                                                                                      Wolfgang Kühnel, Translated by Bruce Hunt

                                                                                                                                                                                                      169.00 元 收藏