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Braid group actions via categorified Heisenberg complexes

Cautis, Sabin; Licata, Anthony; Sussan, Joshua


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.

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Compositio Mathematica
DOI: 10.1112/S0010437X13007367


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