78 citations · 347 across the 30 of their papers we have counts for
4 papers · 1 filter
The geometry of Markov traces
Ben Webster, Geordie Williamson
We give a geometric interpretation of the Jones-Ocneanu trace on the Hecke algebra, using the equivariant cohomology of sheaves on SL(n). This construction makes sense for all simp…
Parity Sheaves
Daniel Juteau, Carl Mautner, Geordie Williamson
Given a stratified variety X with strata satisfying a cohomological parity-vanishing condition, we define and show the uniqueness of "parity sheaves", which are objects in the cons…
A geometric construction of colored HOMFLYPT homology
Ben Webster, Geordie Williamson
The aim of this paper is two-fold. First, we give a fully geometric description of the HOMFLYPT homology of Khovanov-Rozansky. Our method is to construct this invariant in terms of…
Perverse sheaves and modular representation theory
Daniel Juteau, Carl Mautner, Geordie Williamson
This paper is an introduction to the use of perverse sheaves with positive characteristic coefficients in modular representation theory. In the first part, we survey results relati…