17 citations · 37 across the 4 of their papers we have counts for
5 papers
Flagged higher categories
David Ayala, John Francis
We introduce \emph{flagged -categories} and prove that they are equivalent to Segal sheaves on Joyal's category . As such, flagged -categories…
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,…
Counting Bitangents with Stable Maps
David Ayala, Renzo Cavalieri
This paper is an elementary introduction to the theory of moduli spaces of curves and maps. As an application to enumerative geometry, we show how to count the number of bitangent…