Enough vector bundles on orbispaces
arXiv:1906.05816 · doi:10.1112/s0010437x22007783
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.
40 pages, to appear in Compositio Mathematica