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Braid group actions via categorified Heisenberg complexes
Published online by Cambridge University Press: 09 October 2013
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.
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- Research Article
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- © The Author(s) 2013
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