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math.AT2015
Factorization homology I: higher categories
David Ayala, John Francis, Nick Rozenblyum
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 stratifi…
math.AT2015
A stratified homotopy hypothesis
David Ayala, John Francis, Nick Rozenblyum
We show that conically smooth stratified spaces embed fully faithfully into -categories. This articulates a stratified generalization of the homotopy hypothesis proposed by…