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A Note On Heisenberg Categorification (1307.4073v1)
Published 15 Jul 2013 in math-ph, math.CT, and math.MP
Abstract: A categorification of the Heisenberg algebra is constructed in by Khovanov using graphical calculus, and left with a conjecture on the isomorphism between the Heisenberg algebra and Grothendieck ring of the constructed category. We give a proof of Khovanov's conjectured statement in this paper from a categorification of some deformed Heisenberg algebra.