28 citations · 127 across the 15 of their papers we have counts for
4 papers · 1 filter
On the parametrized Tate construction
J. D. Quigley, Jay Shah
We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension of a finite group by a compact Lie group , which we…
Recollements and stratification
Jay Shah
We develop various aspects of the theory of recollements of -categories, including a symmetric monoidal refinement of the theory. Our main result establishes a formula for…
Parametrized higher category theory II: Universal constructions
Jay Shah
We develop parametrized generalizations of a number of fundamental concepts in the theory of -categories, including factorization systems, free fibrations, exponentiable fi…
Dualizable objects in stratified categories and the 1-dimensional bordism hypothesis for recollements
Grigory Kondyrev, Aaron Mazel-Gee, Jay Shah
Given a monoidal -category equipped with a monoidal recollement, we give a simple criterion for an object in to be dualizable in terms of the dualizability of each…