Products and push-forwards in parametrised cohomology theories
Algebraic Topology
2017-03-07 v2 K-Theory and Homology
Abstract
We define a symmetric monoidal structure on the parametrised stable homotopy category over a base space with an action of an 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.
Cite
@article{arxiv.math/0611225,
title = {Products and push-forwards in parametrised cohomology theories},
author = {Robert Waldmüller},
journal= {arXiv preprint arXiv:math/0611225},
year = {2017}
}
Comments
59 pages, PhD thesis, Goettingen 2006