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《代数配边理论》_(美)莱文(Levine.M)著_13544076_9787510070297

【书名】:《代数配边理论》
【作者】:(美)莱文(Levine.M)著
【出版社】:北京/西安:世界图书出版公司
【时间】:2013
【页数】:246
【ISBN】:9787510070297
【SS码】:13544076

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内容简介

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


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