David Ayala

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20052026

most citedGeometric Cobordism Categories

17 citations · 37 across the 9 of their papers we have counts for

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math.AT2024

The Tangle Hypothesis: Dimension 1

David Ayala, John Francis

We introduce an $(\infty, 1)$ -category $Bord_{1}^{fr} (R^{n})$ , the morphisms in which are framed tangles in $R^{n} \times D^{1}$ . We prove that ${\sf Bor…

math.AT2024

Symmetries of the cyclic nerve

David Ayala, Aaron Mazel-Gee, Nick Rozenblyum

We undertake a systematic study of the Hochschild homology, i.e. (the geometric realization of) the cyclic nerve, of $(\infty, 1)$ -categories (and more generally of category-objects…