Fixing the functoriality of Khovanov homology: a simple approach

Taketo Sano

doi:10.1142/s0218216521500747

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arXiv · 2008.02131

Fixing the functoriality of Khovanov homology: a simple approach

Taketo Sano

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Abstract

Khovanov homology is functorial up to sign with respect to link cobordisms. The sign indeterminacy has been fixed by several authors, by extending the original theory both conceptually and algebraically. In this paper we propose an alternative approach: we stay in the classical setup and fix the functoriality by simply adjusting the signs of the morphisms associated to the Reidemeister moves and the Morse moves.

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Taketo Sano. 2020-08-05. Fixing the functoriality of Khovanov homology: a simple approach. https://doi.org/10.1142/s0218216521500747

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