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Gl2 Foam Functoriality and Skein Positivity

Published 19 Sep 2022 in math.QA, math.GT, and math.RT | (2209.08794v1)

Abstract: We prove full functoriality of Khovanov homology for tangled framed gl2 webs. We use this functoriality result to prove a strong positivity result for (orientable) surface skein algebras. The argument goes categorical and consists in proving that so-called linear complexes are stable under superposition.

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