# nLab The Relation of Cobordism to K-Theories

Contents

### Context

#### Cobordism theory

Concepts of cobordism theory

flavors of bordism homology theories/cobordism cohomology theories, their representing Thom spectra and cobordism rings:

bordism theory$\;$M(B,f) (B-bordism):

relative bordism theories:

algebraic:

• The Relation of Cobordism to K-Theories,

Lecture Notes in Mathematics 28 Springer 1966

MR216511

on cobordism theory and topological K-theory, meeting in the notion of the e-invariant.

# Contents

## $U$-Manifolds with Framed Boundaries

### 18. The image of $\Omega^{fr}_{\bullet}$ in $\Omega^{SU}_\bullet$

category: reference

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