点击选择搜索分类
首页 - 电子与通信- 正文
☆☆☆☆☆
||
[美] 科恩(Ralph L.Cohen) 等 著
出版社: 科学出版社 ISBN:9787030313829 版次:1 商品编码:10790855 包装:精装 丛书名: 国外数学名著系列 外文名称:String Topology and Cyclic Homology 开本:16开 出版时间:2011-06-01 用纸:胶版纸 页数:163 字数:205000 正文语种:英文
I Notes on String Topology
Ralph L.Cohen and Alexander A.Vronov
Introduction
l Intersection theory in loop spaces
1.1 Intersections in compact manifolds
1.2 The Chas-Sullivan loop product
1.3 The BV structure and the string bracket
1.4 A stable homotopy point of view
1.5 Relation to Hochschild cohomology
2 The cacti operad
2.1 PROPs and operads
2.1.1 PROP’S
2.1.2 Algebras over a PROP
2.1.3 Operads
2.1.4 Algebras over an operad
2.1.5 Operads via generators and relations
2.2 The cacti operad
2.3 The cacti action on the loop space
2.3.1 Action via cOrrespOndences
2.3.2 The BV structure
3 String topology as field theory
3.1 Field theories
3.1.1 Topological Field Theories
3.1.2(Topological)Conformal Field Theories
3.1.3 Examples
3.1.4 Motivic TCFTs
3.2 Generalized string topology operations
3.3 Open-closed string topology
4 A Morse theoretic viewpoint
4.1 Cylindrical gradient graph flows
4.2 Cylindrical holomorphic curves in T*M
5 Brahe topology
5.1 The higher-dimensional cacti operad
5.2 The cacti action on the sphere space
5.3 The algebraic structure on homology
5.4 Sphere spaces and Hochschild homology
Bibliography
II An Algebraic Model for Mod 2 Topological Cyclic Homology
Kathryn He88
Preface
1 Preliminaries
1.1 Elementary definitions,terminology and notation
1.2 The canonical,enriched Adams-Hilton model
1.2.1 Twisting cochains
1.2.2 Strongly homotopy coalgebra and comodule maps
1.2.3 The canonical Adams-Hilton model
1.3 Noncommutative algebraic models of fiber squares
2 Free loop spaces
2.1 A simplicial model for the free loop space
2.1.1 The general model
2.1.2 Choosing the free loop model functorially
2.2 The multiplicative free loop space model
2.2.1 The diagonal map
2.2.2 The path fibration
2.2.3 The free loop space model
2.3 The free loop model for topological spaces
2.4 Linearization of the free loop model
3 Homotopy orbit spaces
3.1 A special family of primitives
3.2 A useful resolution of CU*ES1
3.3 Modeling S1 homotopy orbits
3.4 The case of the free loop space
……
弦拓扑与环同调(影印版) [String Topology and Cyclic Homology] 电子书 下载 mobi epub pdf txt
弦拓扑与环同调(影印版) [String Topology and Cyclic Homology]-so88
弦拓扑与环同调(影印版) [String Topology and Cyclic Homology] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 科恩(Ralph L.Cohen) 等 著
出版社: 科学出版社 ISBN:9787030313829 版次:1 商品编码:10790855 包装:精装 丛书名: 国外数学名著系列 外文名称:String Topology and Cyclic Homology 开本:16开 出版时间:2011-06-01 用纸:胶版纸 页数:163 字数:205000 正文语种:英文
内容简介
《弦拓扑与环同调(影印版)》的两部分分别介绍StringTopology与CyclicHomology,都是十几年来代数拓扑学中的新发展,freeloopspace都在其中起着中心作用。属于“反映学术前沿进展的优秀学术著作”这一类。比较专门,对象是研究生。目录
ForewordI Notes on String Topology
Ralph L.Cohen and Alexander A.Vronov
Introduction
l Intersection theory in loop spaces
1.1 Intersections in compact manifolds
1.2 The Chas-Sullivan loop product
1.3 The BV structure and the string bracket
1.4 A stable homotopy point of view
1.5 Relation to Hochschild cohomology
2 The cacti operad
2.1 PROPs and operads
2.1.1 PROP’S
2.1.2 Algebras over a PROP
2.1.3 Operads
2.1.4 Algebras over an operad
2.1.5 Operads via generators and relations
2.2 The cacti operad
2.3 The cacti action on the loop space
2.3.1 Action via cOrrespOndences
2.3.2 The BV structure
3 String topology as field theory
3.1 Field theories
3.1.1 Topological Field Theories
3.1.2(Topological)Conformal Field Theories
3.1.3 Examples
3.1.4 Motivic TCFTs
3.2 Generalized string topology operations
3.3 Open-closed string topology
4 A Morse theoretic viewpoint
4.1 Cylindrical gradient graph flows
4.2 Cylindrical holomorphic curves in T*M
5 Brahe topology
5.1 The higher-dimensional cacti operad
5.2 The cacti action on the sphere space
5.3 The algebraic structure on homology
5.4 Sphere spaces and Hochschild homology
Bibliography
II An Algebraic Model for Mod 2 Topological Cyclic Homology
Kathryn He88
Preface
1 Preliminaries
1.1 Elementary definitions,terminology and notation
1.2 The canonical,enriched Adams-Hilton model
1.2.1 Twisting cochains
1.2.2 Strongly homotopy coalgebra and comodule maps
1.2.3 The canonical Adams-Hilton model
1.3 Noncommutative algebraic models of fiber squares
2 Free loop spaces
2.1 A simplicial model for the free loop space
2.1.1 The general model
2.1.2 Choosing the free loop model functorially
2.2 The multiplicative free loop space model
2.2.1 The diagonal map
2.2.2 The path fibration
2.2.3 The free loop space model
2.3 The free loop model for topological spaces
2.4 Linearization of the free loop model
3 Homotopy orbit spaces
3.1 A special family of primitives
3.2 A useful resolution of CU*ES1
3.3 Modeling S1 homotopy orbits
3.4 The case of the free loop space
……
前言/序言
弦拓扑与环同调(影印版) [String Topology and Cyclic Homology] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- BF-灿烂人生-电视文学剧本-(上.下册)-郑子毅 哈尔滨工业大学出版社 97875603
- 满28包邮 迎男而上(电视剧《我爱男闺蜜》方骏/黄磊 看的书)
- 水生动植物
- 恋爱心法
- 鸟类 畅销书籍 时尚生活 正版鸟类(世界的鸟类图谱)(精) [美]约翰詹姆斯奥杜邦/绘,艺
- 依恋:为什么我们爱得如此卑微 婚恋与两性 书籍
- 你一定爱读的科学故事:培养探索精神的理想读本
- 满28包邮 真爱并非运气,被爱是种实力
- 闪电与雷 9787811417401
- 好爸爸成就儿子一生-十场谈话教出优秀儿子
- 正版程世界未解之谜(彩图精装)9787511339423文若愚
- 拍下减10元!!雪中悍刀行全套1-20全册 已经完结 烽火戏诸侯著开创奇幻武侠新世 玄幻小说
- 化学的故事 科学出版社
- 满28包邮 天下女人都会卡的关
- {RT}历经磨难的科学巨人-齐浩然著 金盾出版社 9787508299549