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arXiv · 1912.10544

Classifying spaces of infinity-sheaves

Daniel Berwick-Evans·Pedro Boavida de Brito·Dmitri Pavlov
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Abstract

We prove that the set of concordance classes of sections of an infinity-sheaf on a manifold is representable, extending a theorem of Madsen and Weiss. This is reminiscent of an h-principle in which the role of isotopy is played by concordance. As an application, we offer an answer to the question: what does the classifying space of a Segal space classify?

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BibTeXRIS

Daniel Berwick-Evans, Pedro Boavida de Brito, Dmitri Pavlov. 2019-12-22. Classifying spaces of infinity-sheaves. https://doi.org/10.2140/agt.2024.24.4891

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