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arxiv: 1307.4073 · v1 · pith:XJ22OK63new · submitted 2013-07-15 · 🧮 math-ph · math.CT· math.MP

A Note On Heisenberg Categorification

classification 🧮 math-ph math.CTmath.MP
keywords heisenbergalgebracategorificationconstructedkhovanovcalculuscategoryconjecture
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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.

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