3 papers
math.CT2023
On Multi-Determinant Functors for Triangulated Categories
Ettore Aldrovandi, Cynthia Lester
We extend Deligne's notion of determinant functor to tensor triangulated categories. Specifically, to account for the multiexact structure of the tensor, we define a determinant fu…
math.AT2019
Covers in the Canonical Grothendieck Topology
Cynthia Lester
We explore the canonical Grothendieck topology in some specific circumstances. First we use a description of the canonical topology to get a variant of Giraud's Theorem. Then we ex…
math.AT2019
The Canonical Grothendieck Topology and a Homotopical Analog
Cynthia Lester
We explore the canonical Grothendieck topology and a new homotopical analog. First we discuss some background information, including defining a new 2-category called the Index-Func…