9 citations · 13 across the 3 of their papers we have counts for
4 papers
An involutive upsilon knot invariant
Matthew Hogancamp, Charles Livingston
Using the theory of involutive Heegaard Floer knot theory developed by Hendricks-Manolescu, we define two involutive analogs of the Upsilon knot concordance invariant of Ozsvath-St…
Categorical diagonalization
Ben Elias, Matthew Hogancamp
This paper lays the groundwork for the theory of categorical diagonalization. Given a diagonalizable operator, tools in linear algebra (such as Lagrange interpolation) allow one to…
Idempotents in triangulated monoidal categories
Matthew Hogancamp
In these notes we develop some basic theory of idempotents in monoidal categories. We introduce and study the notion of a pair of complementary idempotents in a triangulated monoid…
Morphisms between categorified spin networks
Matt Hogancamp
We introduce a graphical calculus for computing morphism spaces between the categorified spin networks of Cooper and Krushkal. The calculus, phrased in terms of planar compositions…