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Heisenberg categorification and Hilbert schemes

Cautis, Sabin; Licata, Anthony

Description

Given a finite subgroup Γ ⊂ SL2(C) we define an additive 2-category HΓ whose Grothendieck group is isomorphic to an integral form HΓ of the Heisenberg algebra. We construct an action of HΓ on derived categories of coherent sheaves on Hilbert schemes

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/29809
Source: Duke Mathematical Journal
DOI: 10.1215/00127094-1812726

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