考研网 » 考试图书 » 英文版 » 几何与分析(第II卷) Geometry and Analysis(Vol.II) » 全部考试图书分类

图书简介

　The launch of this Advanced Lectures in Mathematics series is aimed at keeping mathematicians informed of the latest developments in mathematics, as well as toaid in the learning of new mathematical topics by students all over the world. Each volume consists of either an expository monograph or a collection of signify cant introductions to important topics, This series emphasizes the history and sources of motivation for the topics under discussion, and also gives an overview of the current status of research in each particular field. These volumes are the first source to which people will turn in order to learn new subjects and to dis cover the latest results of many cutting-edge fields in mathematics.
　　This book contains many substantial papers from distinguished speakers of a conference "Geometric Analysis: Present and Future" and an overview of the works of Professor Shing-Tung Yau. Contributors include E. Witten, Y.T. Siu, R. Hamilton, H. Hitchin, B. Lawson, A. Strominger, C. Vafa, W. Schmid, V. Guillemin, N. Mok, D. Christodoulou. This is a valuable reference that gives an up-to-dated summary of geometric analysis and its applications in many different areas of mathematics.
目录
Part 3 Mathematical Physics, Algebraic Geometry and Other Topics
The Coherent-Constructible Correspondence and Homological Mirror Symmetry for Toric Varieties
Bohan Fang, Chiu-Chu Melissa Liu, David Treumann and Eric Zaslow.
1 Introduction
1.1 Outline
2 Mirror symmetry for toric manifolds
2.1 Hori-Vafa mirror
2.2 Categories in mirror symmetry
2.3 Results to date
3 T-duality
3.1 Moment polytope
3.2 Geometry of the open orbit
3.3 Statement of symplectic results
3.4 T-dual of an equivariant line bundle
4 Microlocalization
4.1 Algebraic preliminaries
4.2 The cast of categories
4.3 Fukaya-Oh theorem
4.4 Building the equivalence
4.5 Equivalence and the inverse functor
4.6 Singular support and characteristic cycles
4.7 Comments on technicalities
4.8 Statement of results
5 Coherent-constructible correspondence
6 Examples
6.1 Taking the mapping cone
6.2 Toric Fano surfaces
6.3 Hirzebruch surfaces
References
Superspace: a Comfortably Vast Algebraic Variety
T. Hiibsch
1 Introduction
1.1 Basic ideas and definitions
1.2 The traditional superspace
2 Off-shell worldline supermultiplets
2.1 Adinkraic supermultiplets
2.2 Various hangings
2.3 Projected supermultiplets
2.4 Supermultiplets vs. superfields
3 Superspace, by construction
3.1 Superpartners of time
3.2 A telescoping deformation structure
3.3 Nontrivial superspace geometry
3.4 Higher-dimensional spacetime
4 The comfortably vast superspace
References
A Report on the Yau-Zaslow Formula
Naichung Conan Leung
1 Yau-Zaslow formula and its generalizations
2 Yau-Zaslow approach
3 Matching method
4 Degeneration method
5 Calabi-Yau threefold method
6 Conclusions
References
Hermitian-Yang-Mills Connections on Kahler Manifolds
Jun Li
1 Introduction
1.1 Hermitian-Yang-Mills connections
1.2 HYM connections lead to stable bundles
1.3 Stable bundles and their moduli spaces
1.4 Flat bundles and stable bundles on curves
2 Donaldson-Uhlenbeck-Yau theorem
2.1 Donaldson's proof for algebraic surfaces
2.2 Uhlenbeck-Yau's proof for Kahler manifolds
3 Hermitian-Yang-Mills connections on curves
4 Hermitian-Yang-Mills connections on surfaces
4.1 Extending DUY correspondence
4.2 Stable topology of the moduli spaces
4.3 Donaldson polynomial invariants
5 HYM connections on high dimensional varieties
5.1 Extending the DUY correspondence in high dimensions
5.2 Donaldson-Thomas invariants
6 Concluding remark
References ~
Additivity and Relative Kodaira Dimensions
Tian-Jun Li and Weiyi Zhang
1 Introduction
2 Kodaira Dimensions and fiber bundles
2.1 h for complex manifolds and up to dimension 3
2.2 Ks for symplectic 4~manifolds
2.3 Additivity for a fiber bundle
3 Embedded symplectic surfaces and relative Kod. dim. in dim. 4.
3.1 Embedded symplectic surfaces and maxinmlity
3.2 The adjoint class
3.3 Existence and Uniqueness of relatively minimal model
3.4 (M,w,F)
4 Relative Kod. dim. in dim. 2 and fibrations over a surface
4.1 (F,D), Riemann-Hurwitz formula and Seifert fibrations...
4.2 Lefschetz fibrations
References
Descendent Integrals and Tautological Rings of
Moduli Spaces of Curves
Kefen9 Liu and Hao Xu
1 Introduction
2 Intersection numbers and the Witten-Kontsevich theorem
2.1 Witten-Kontsevich theorem
2.2 Virasoro constraints
3 The n-point function
3.1 A recursive formula of n-point functions
3.2 An effective recursion formulae of descendent integrals
4 Hodge integrals
4.1 Faber's algorithm
4.2 Hodge integral formulae
5 Higher Weil-Petersson volumes
5.1 Generalization of Mirzakhani's recursion formula
5.2 Recursion formulae of higher Weil-Petersson volumes
6 Faber's conjecture on tautological rings
6.1 The Faber intersection number conjecture
6.2 Relations with n-point functions
7 Dimension of tautological rings
7.1 Ramanujan's mock theta functions
7.2 Asymptotics of tautological dimensions
8 Gromov-Witten invariants
8.1 Universal equations of Gromov-Witten invariants
8.2 Some vanishing identities
9 Witten's r-spin numbers
9.1 Generalized Witten's conjecture
9.2 An algorithm for computing Witten's r-spin numbers
References
A General Voronoi Summation Formula for GL(n, Z)
Stephen D. Miller and Wilfried Sehmid
1 Introduction
2 Automorphic Distributions
3 Vanishing to infinite order
4 Classical proof of the formula
5 Adelic proof of the formula
References
Geometry of Holomorphic Isometries and Related Maps
between Bounded Domains
Ngaiming Mok
1 Examples of holomorphic isometries
1.1 Examples of equivariant embeddings into the
projective space
1.2 Non-standard holomorphic isometries of the Poincar
disk into polydisks
1.3 A non-standard holomorphic isometry of the Poincar
disk into a Siegel upper half-plane
1.4 Examples of holomorphic isometries with arbitrary
normalizing constants A > 1
2 Analytic continuation of germs of holomorphic isometries
2.1 Analytic continuation of holomorphic isometries into the
projective space equipped with the Fubini-Study metric
2.2 An extension and rigidity problem arising from
commutators of modular correspondences
2.3 Analytic continuation of holomorphic isometries up to
normalizing constants with respect to the Bergman
metric - extension beyond the boundary
2.4 Canonically embeddable Bergman manifolds and
Bergman meromorphic compactifications
3 Holomorphic isometries of the Poincar disk into
bounded symmetric domains
3.1 Structural equations on the norm of the second
fundamental form and asymptotic vanishing order
3.2 Holomorphic isometries of the Poincar disk into
polydisks: structural results
3.3 Calculated examples on the norm of the second
fundamental form
3.4 Holomorphic isometries of the Poincar5 disk into
polydisks: uniqueness results
3.5 Asymptotic total geodesy and applications
4 Measure-preserving algebraic correspondences on irreducible
bounded symmetric domains
4.1 Statements of results
4.2 Extension results on strictly pseudoconvex
algebraic hypersurfaces
4.3 Alexander-type extension results in the higher-rank case
4.4 Total geodesy of germs of measure-preserving holomorphie

同类热销图书

书名	作者	出版社	价格	购买
爱的教育（典藏英文原版）——英语学习者必读！200年来最..	艾德蒙多·..	延边人民出版社	￥25.00 ￥15.00	详情
美国语文(英文原版)(精装版)(套装共6册）	威廉•..	天津人民出版社	￥158.00 ￥109.00	详情
飘（英文版）	（美）米切..	外文出版社	￥36.00 ￥27.90	详情
傲慢与偏见-世界经典读本（英文原版）	（英）奥斯..	中央编译出版社	￥28.00 ￥17.10	详情
小妇人（典藏英文原版）——英语学习者课外必读！打动万千..	（美）奥尔..	延边人民出版社	￥47.00 ￥26.00	详情
英文经典－傲慢与偏见(英文版)	〔英国〕简..	译林出版社	￥32.00 ￥22.10	详情
呼啸山庄（典藏英文原版）——唯一未经删减与修改的版本，..	（英）勃朗..	延边人民出版社	￥16.80 ￥13.50	详情
红楼梦（全三卷）	（清）曹雪..	外文出版社	￥198.00 ￥151.40	详情
当幸福来敲门（英文版）——新东方英语培训必看电影	（美）加德..	清华大学出版社	￥45.80 ￥33.10	详情
京华烟云(林语堂英文作品集)(月亮石)——林语堂先生最自豪..	林语堂 著	外语教学与研究出..	￥49.90 ￥40.80	详情
Reader's Choice读者的选择（第4版）	马克·A·..	世界图书出版公司	￥49.00 ￥36.80	详情
雾都孤儿（典藏英文原版）——英语学习者课外必读！完美再..	查尔斯·狄..	延边人民出版社	￥45.00 ￥25.00	详情
狼图腾（英文版）	姜戎 著，..	长江文艺出版社	￥96.00 ￥72.00	详情
英汉对照:每天读点英文经典短篇小说全集（典藏英文全集 36..	马钟元 ..	中国宇航出版社	￥39.80 ￥29.90	详情
丁晓钟-英美外刊超精读	丁晓钟　主..	哈尔滨工程大学出..	￥52.00 ￥37.80	详情
影响你一生的47部电影(附MP3)（赏好片，学英语，一书在手..	《新东方英..	西安交通大学出版..	￥29.80 ￥22.00	详情
飘-世界经典读本（1.2）（英文原版）	（美）米切..	中央编译出版社	￥68.00 ￥48.90	详情
一地鸡毛(中国故事)	刘震云 著	外语教学与研究出..	￥45.00 ￥36.00	详情
吾国与吾民(林语堂英文作品集)(月亮石)——林语堂英文原版..	林语堂 著	外语教学与研究出..	￥24.90 ￥20.30	详情
安徒生童话全集（插图·中文导读英文版）	（丹）安徒..	清华大学出版社	￥139.00 ￥113.50	详情
福尔摩斯经典系列全集（上海世图--名著典藏 英文全本 英..	（英）柯南..	世界图书出版公司	￥58.00 ￥38.90	详情
圣经的故事（英文原版ⅠⅡ）	（美）赫尔..	中央编译出版社	￥69.00 ￥52.90	详情
飘（上海世图--名著典藏 英文全本 美国小说卷，总销售册..		世界图书出版公司	￥35.80 ￥26.90	详情
鲁滨逊漂流记（典藏英文原版）——英语学习者课外必读！影..	丹尼尔·笛..	延边人民出版社	￥28.00 ￥16.00	详情
世界文学名著全英文版·英国篇第一辑--原版原味!（含《德..	（英）哈代..	中国对外翻译出版..	￥90.80 ￥59.00	详情