代数配边理论（英文版）
￥49.00定价
作者： [美]莱文
出版时间：2013-11
出版社：世界图书出版公司
- 世界图书出版公司
- 9787510070297
- 45517
- 2013-11
- O189.3
内容简介
《代数配边理论（英文版）》是一部很难得的介绍代数配边理论的专著，内容精炼简短。《代数配边理论（英文版）》在讲述了quillen复配边方法后，接着在固定域的光滑变量范畴上引进有向上同调理论的观点，证明了这样一个理论范的存在性叫做代数配边。书中也包括了一些计算和应用案例。
目录
1 Cobordism and oriented cohomology
1.1 Oriented cohomology theories
1.2 Algebraic cobordism
1.3 Relations with complex cobordism
2 The definition of algebraic cobordism
2.1 Oriented Borel-Moore functors
2.2 Oriented functors of geometric type
2.3 Some elementary properties
2.4 The construction of algebraic cobordism
2.5 Some computations in algebraic cobordism
3 Fundamental properties of algebraic cobordism
3.1 Divisor classes
3.2 Localization
3.3 Transversality
3.4 Homotopy invariance
3.5 The projective bundle formula
3.6 The extended homotopy property
4 Algebraic cobordism and the Lazard ring
4.1 Weak homology and Chern classes
4.2 Algebraic cobordism and K-theory
4.3 The cobordism ring of a point
4.4 Degree formulas
4.5 Comparison with the Chow groups
5 Oriented Borel-Moore homology
5.1 Oriented Borel-Moore homology theories
5.2 Other oriented theories
1.1 Oriented cohomology theories
1.2 Algebraic cobordism
1.3 Relations with complex cobordism
2 The definition of algebraic cobordism
2.1 Oriented Borel-Moore functors
2.2 Oriented functors of geometric type
2.3 Some elementary properties
2.4 The construction of algebraic cobordism
2.5 Some computations in algebraic cobordism
3 Fundamental properties of algebraic cobordism
3.1 Divisor classes
3.2 Localization
3.3 Transversality
3.4 Homotopy invariance
3.5 The projective bundle formula
3.6 The extended homotopy property
4 Algebraic cobordism and the Lazard ring
4.1 Weak homology and Chern classes
4.2 Algebraic cobordism and K-theory
4.3 The cobordism ring of a point
4.4 Degree formulas
4.5 Comparison with the Chow groups
5 Oriented Borel-Moore homology
5.1 Oriented Borel-Moore homology theories
5.2 Other oriented theories
