Heisenberg categorification and Hilbert schemes

Sabin Cautis, Anthony Licata

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Source: Crossref

Published: Oct 1, 2012

DOI: 10.1215/00127094-1812726

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Source abstract

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 of points on the minimal resolutions ℂ2/Γ^.

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