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Factorization homology I: higher categories
Ayala, David...

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Factorization homology I: higher categories by Ayala, David ( Author )
Lemonjar Open Access
N.A
15-04-2015
We construct a pairing, which we call factorization homology, between framed manifolds and higher categories. The essential geometric notion is that of a vari-framing of a stratified manifold, which is a framing on each stratum together with a coherent system of compatibilities of framings along links between strata. Our main result constructs labeling systems on disk-stratified vari-framed n-manifolds from (∞,n)-categories. These (∞,n)-categories, in contrast with the literature to date, are not required to have adjoints. This allows the following conceptual definition: the factorization homology ∫MC of a framed n-manifold M with coefficients in an (∞,n)-category C is the classifying space of $\cC$-labeled disk-stratifications over M.
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Article
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English
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MYR 0.00
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http://arxiv.org/abs/1504.04007
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