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《代数配边理论》是一部很难得的介绍代数配边理论的专著，内容精炼简短。书中在讲述了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。读者对象：数学专业的研究生和科研人员。

基本内容

定价：49.00

开本：24

ISBN：9787510070297

书名：代数配边理论

品牌：世界图书出版公司北京公司

外文名：Algebraic Cobordism

作者：M.莱文 (Mark Levine)

《代数配边理论》由世界图书出版公司北京公司出版。

作者：（美国）M.莱文（Mark Levine）

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]