暂无评论
图文详情
- ISBN:9787560399157
- 装帧:平装-胶订
- 册数:暂无
- 重量:暂无
- 开本:其他
- 页数:119
- 出版时间:2022-01-01
- 条形码:9787560399157 ; 978-7-5603-9915-7
内容简介
本书是一部英文版的数学专著。本书内容相当艰深且小众,估计只有少数研究者才会感兴趣.但由于雅可比猜想是一个历史感颇强的大猜想且至今无人解决,所以笔者相信一定会有人从收藏心态购买之。
目录
1.Introduction
Chapter 1.Graphs Category and Three-manifolds as correspondences
1.Three-manifolds as correspondences
2.Composition ofcorrespondencas
3.Representations and compositions of correspondences
4.Semigroupoids and additive categories
5.Categories of graphs and correspondences
6.Convolution algebra and time evolution
7.Equivalence of correspondences
8.Convolution algebras and 2-semigroupoids
9.Vertical and horizontal time evolutions
10.Vertical time evolution: Hattie-Hawking gravity
11.Vertical time evolution: gauge moduli and index theory
12.Horizontal time evolution: bivariant Chern character
13.Noncommutative spaces and spectral correspondences
Chapter 2.Knots, Khovanov Homology
1.Introduction
2.From graphs to knots
3.Khovanov Homology
4.Knots and Links Cobordism Groups
5.Graphs and cobordisms
6.Homology theories for embedded graphs
7.Questions and Future Work
Appendix A.
1.Branched Covering
2.Filtration
3.Knot and link
4.Topological Quantum Field Theory
5.2-Category
6.Group Rings
7.Creation and annihilation operators
8.A quick introduction to Dirac operators
9.Concepts of Cyclic Cohomology
Appendix.Bibliography
编辑手记
Chapter 1.Graphs Category and Three-manifolds as correspondences
1.Three-manifolds as correspondences
2.Composition ofcorrespondencas
3.Representations and compositions of correspondences
4.Semigroupoids and additive categories
5.Categories of graphs and correspondences
6.Convolution algebra and time evolution
7.Equivalence of correspondences
8.Convolution algebras and 2-semigroupoids
9.Vertical and horizontal time evolutions
10.Vertical time evolution: Hattie-Hawking gravity
11.Vertical time evolution: gauge moduli and index theory
12.Horizontal time evolution: bivariant Chern character
13.Noncommutative spaces and spectral correspondences
Chapter 2.Knots, Khovanov Homology
1.Introduction
2.From graphs to knots
3.Khovanov Homology
4.Knots and Links Cobordism Groups
5.Graphs and cobordisms
6.Homology theories for embedded graphs
7.Questions and Future Work
Appendix A.
1.Branched Covering
2.Filtration
3.Knot and link
4.Topological Quantum Field Theory
5.2-Category
6.Group Rings
7.Creation and annihilation operators
8.A quick introduction to Dirac operators
9.Concepts of Cyclic Cohomology
Appendix.Bibliography
编辑手记
展开全部
本类五星书
本类畅销
-
昆虫的生存之道
¥12.2¥38.0 -
假设的世界:一切不能想当然
¥17.1¥45.0 -
宇宙与人
¥11.2¥35.0 -
相对论
¥15.1¥39.8 -
时间简史-普及版
¥22.0¥38.0 -
古文诗词中的地球与环境事件
¥9.0¥28.0 -
东京文艺地图(九品)
¥12.2¥38.0 -
130种美鸟彩图馆
¥21.1¥39.8 -
了不起的昆虫(八品)
¥14.9¥45.0 -
造就适者——DNA和进化的有力证据
¥17.6¥55.0 -
现代物理学的概念和理论
¥20.4¥68.0 -
明清科技史料丛考
¥12.0¥28.0 -
DK有趣的学习:有趣的生物——生命是什么
¥10.1¥29.8 -
技术思考-技术哲学的基础
¥6.7¥21.0 -
世纪幽灵-走近量子纠缠
¥10.4¥28.0 -
李先闻自述-20世纪中国科学口述史
¥14.7¥46.0 -
数学的魅力;初等数学概念演绎
¥7.0¥22.0 -
科学与现代性:整体科学理论
¥14.2¥33.0 -
图说相对论(32开平装)
¥14.7¥46.0 -
地球的理论
¥12.4¥22.5