Aaron Mazel-Gee

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math.AT2025

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…

math.AT2024

Factorization homology of enriched $\infty$ -categories

David Ayala, John Francis, Aaron Mazel-Gee +1

For an arbitrary symmetric monoidal $\infty$ -category $V$ , we define the factorization homology of $V$ -enriched $(\infty, 1)$ -categories over (possibly stratifie…

Symmetries of the cyclic nerve

Factorization homology of enriched ∞-categories

Factorization homology of enriched $\infty$ -categories