Heisenberg categorification and Hilbert schemes

Details Heisenberg categorification and Hilbert schemes Heisenberg categorification and Hilbert schemes

2010-09-27

arxiv.org/abs/1009.5147v3

Mathematics

Quantum Algebra

53 pages

Scientific paper

Given a finite subgroup G of SL(2,C) we define an additive 2-category H^G
whose Grothendieck group is isomorphic to an integral form of the Heisenberg
algebra. We construct an action of H^G on derived categories of coherent
sheaves on Hilbert schemes of points on the minimal resolutions of C^2/G.

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