10 citations · 41 across the 17 of their papers we have counts for
8 papers · 1 filter
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 -categories (and more generally of category-objects…
The cyclic Deligne conjecture and Calabi-Yau structures
Christopher Brav, Nick Rozenblyum
The Deligne conjecture (many times a theorem) endows Hochschild cochains of a linear category with the structure of an -algebra, that is, of an algebra over the little 2-disks…
Derived Mackey functors and -equivariant cohomology
David Ayala, Aaron Mazel-Gee, Nick Rozenblyum
We establish a novel approach to computing -equivariant cohomology for a finite group , and demonstrate it in the case that . For any commutative ring spectrum $…
A naive approach to genuine -spectra and cyclotomic spectra
David Ayala, Aaron Mazel-Gee, Nick Rozenblyum
For any compact Lie group , we give a description of genuine -spectra in terms of the naive equivariant spectra underlying their geometric fixedpoints. We use this to give an…
The geometry of the cyclotomic trace
David Ayala, Aaron Mazel-Gee, Nick Rozenblyum
We provide a new construction of the topological cyclic homology of any spectrally-enriched -category , which affords a precise algebro-geometric interpretation…
Factorization homology of enriched -categories
David Ayala, John Francis, Aaron Mazel-Gee +1
For an arbitrary symmetric monoidal -category , we define the factorization homology of -enriched -categories over (possibly stratifie…
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…
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…