Enough vector bundles on orbispaces

John Pardon

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageEnglish (US)
Pages (from-to)2046-2081
Number of pages36
JournalCompositio Mathematica
Issue number11
StatePublished - Nov 28 2022

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


  • Chern character
  • K-theory
  • derived orbifolds
  • global homotopy theory
  • orbibundles
  • orbifold cohomology
  • orbifolds
  • orbispaces


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