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arXiv · 1906.05816

Enough vector bundles on orbispaces

John Pardon
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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.

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John Pardon. 2019-06-13. Enough vector bundles on orbispaces. https://doi.org/10.1112/s0010437x22007783

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