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A Note On Heisenberg Categorification

arXiv:1307.4073

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.

16 pages; need to run the latex files several times to get all the equation number. arXiv admin note: text overlap with arXiv:1302.4686