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) |
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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