17 citations · 37 across the 6 of their papers we have counts for
5 papers · 1 filter
Symmetries of a rigid braided category
David Ayala, John Francis
We identify natural symmetries of each rigid higher braided category. Specifically, we construct a functorial action by the continuous group on each $\mathcal{E}_{…
A factorization homology primer
David Ayala, John Francis
This chapter amalgamates some foundational developments and calculations in factorization homology.
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…
Geometric Cobordism Categories
David Ayala
In this paper we study cobordism categories consisting of manifolds which are endowed with geometric structure. Examples of such geometric structures include symplectic structures,…