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Heisenberg categorification and Hilbert schemes (1009.5147v3)
Published 27 Sep 2010 in math.QA and math.AG
Abstract: Given a finite subgroup G of SL(2,C) we define an additive 2-category HG whose Grothendieck group is isomorphic to an integral form of the Heisenberg algebra. We construct an action of HG on derived categories of coherent sheaves on Hilbert schemes of points on the minimal resolutions of C2/G.
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