The Relation of Cobordism to K-Theories

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Springer, 2006 M11 14 - 116 pages
 

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Contents

The Thom Isomorphism in Ktheory
ii
Tensor products of exterior algebras
vi
Application to bundles
11
Thom classes of line bundles
18
Cobordism and homomorphisms into Ktheory
25
The homomorphism e
30
Cobordism Characteristic Classes 58
38
A theorem of Dold
39
UManifolds with Framed Boundaries
69
The Ubordism groups nº ſº ſº º ſº tº e º º e º º º º
70
Characteristic numbers from Ktheory
78
The theorem of Stong and Hattori
82
Umanifolds with stably framed boundaries
91
The bordism groups Q V fr
96
The groups nº
105
in a
108

Characteristic classes in cobordism
48
Characteristic classes in Ktheory
52
A cobordism interpretation for K X
65
Bibliography
111
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