Braid group actions via categorified Heisenberg complexes
arXiv:1207.5245 · doi:10.1112/S0010437X13007367
Abstract
We construct categorical braid group actions from 2-representations of a Heisenberg algebra. These actions are induced by certain complexes which generalize spherical (Seidel-Thomas) twists and are reminiscent of the Rickard complexes defined by Chuang-Rouquier. Conjecturally, one can relate our complexes to Rickard complexes using categorical vertex operators.
35 pages