6 citations · 11 across the 4 of their papers we have counts for
6 papers
Koszul Algebras and Flow Lattices
Zsuzsanna Dancso, Anthony M. Licata
We provide a homological algebraic realization of the lattices of integer cuts and integer flows of graphs. To a finite 2-edge-connected graph with a spanning tree , we asso…
Braid groups of type ADE, Garside monoids, and the categorified root lattice
Anthony M. Licata, Hoel Queffelec
We study Artin-Tits braid groups of type ADE via the action of on the homotopy category of graded projective zigzag modules (which categ…
On the 2-linearity of the free group
Anthony M. Licata
We construct an action of the free group on the homotopy category of projective modules over a finite dimensional zigzag algebra. The main theorem in the paper is that this a…
Computing annular Khovanov homology
Hilary Hunt, Hannah Keese, Anthony Licata +1
We define a third grading on Khovanov homology, which is an invariant of annular links but changes by under stabilization. We illustrate the use of our computer implementat…
Coherent Sheaves on Quiver Varieties and Categorification
Sabin Cautis, Joel Kamnitzer, Anthony Licata
We construct geometric categorical Lie algebra actions on the derived category of coherent sheaves on Nakajima quiver varieties. These actions categorify Nakajima's construction of…
Framed Rank r Torsion-free Sheaves on CP^2 and Representations of the Affine Lie Algebra \hat{gl(r)}
Anthony Licata
We construct geometric realizations of the r-colored bosonic and fermionic Fock space on the equivariant cohomology of the moduli space of framed rank r torsion-free sheaves on CP^…