Enough vector bundles on orbispaces
Algebraic Topology
2023-08-15 v4 K-Theory and Homology
Abstract
We show that every orbispace satisfying certain mild hypotheses has 'enough' vector bundles. It follows that the K-theory of finite rank vector bundles on such orbispaces is a cohomology theory. Global presentation results for smooth orbifolds and derived smooth orbifolds also follow.
Cite
@article{arxiv.1906.05816,
title = {Enough vector bundles on orbispaces},
author = {John Pardon},
journal= {arXiv preprint arXiv:1906.05816},
year = {2023}
}
Comments
40 pages, to appear in Compositio Mathematica