Braid group actions via categorified Heisenberg complexes
Representation Theory
2019-02-20 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1207.5245,
title = {Braid group actions via categorified Heisenberg complexes},
author = {Sabin Cautis and Anthony Licata and Joshua Sussan},
journal= {arXiv preprint arXiv:1207.5245},
year = {2019}
}
Comments
35 pages