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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2046-2081 |
| Number of pages | 36 |
| Journal | Compositio Mathematica |
| Volume | 158 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 28 2022 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
Keywords
- Chern character
- K-theory
- derived orbifolds
- global homotopy theory
- orbibundles
- orbifold cohomology
- orbifolds
- orbispaces