Products and push-forwards in parametrised cohomology theories

Abstract

We define a symmetric monoidal structure on the parametrised stable homotopy category over a base space with an action of an $E_{\infty }$ operad. We discuss products, orientations and push-forwards in parametrised cohomology theories corresponding to parametrised ring spectra. Finally, we construct parametrised ring spectra representing twisted K-theory and twisted Spinc-cobordism.

59 pages, PhD thesis, Goettingen 2006

References in corpus (2)

• Twisted K-theory and loop group representations
• Thom isomorphism and Push-forward map in twisted K-theory

Cited by in corpus (1)

• Twisted Morava K-theory and E-theory