nLab
MSpin^c

Contents

Contents

Idea

The cobordism theory for manifolds equipped with (stable) Spin^c structure.

Properties

Atiyah-Bott-Shapiro orientation

(…)

see at Atiyah-Bott-Shapiro orientation

(…)

Relation to complex K-theory

MSpin cM Spin^c is related to KU in a variant of the Conner-Floyd isomorphism, via the Atiyah-Bott-Shapiro orientation (Hopkins-Hovey 92, Thm. 1)

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:

equivariant bordism theory:

global equivariant bordism theory:

algebraic:

References

Created on February 18, 2021 at 09:53:45. See the history of this page for a list of all contributions to it.