Virtual vector bundles and graded Thom spectra
Algebraic Topology
2019-07-15 v3
Abstract
We introduce a convenient framework for constructing and analyzing orthogonal Thom spectra arising from virtual vector bundles. This framework enables us to set up a theory of orientations and graded Thom isomorphisms with good multiplicative properties. The theory is applied to the analysis of logarithmic structures on commutative ring spectra.
Cite
@article{arxiv.1410.4492,
title = {Virtual vector bundles and graded Thom spectra},
author = {Steffen Sagave and Christian Schlichtkrull},
journal= {arXiv preprint arXiv:1410.4492},
year = {2019}
}
Comments
v3: 39 pages, minor revision. Accepted for publication in Mathematische Zeitschrift