Khovanov-Rozansky homology of two-bridge knots and links

Jacob Rasmussen

doi:10.1215/S0012-7094-07-13635-4

Abstract

We compute the reduced version of Khovanov and Rozansky's $\mathfrak{sl}$ (N) homology for two-bridge knots and links. The answer is expressed in terms of the skein polynomial of Hoste, Ocneanu, Millett, Freyd, Lickorish, and Yetter (or HOMFLY polynomial; see [6]) and signature

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Jacob Rasmussen. "Khovanov-Rozansky homology of two-bridge knots and links." Duke Math. J. 136 (3) 551 - 583, 15 February 2007. https://doi.org/10.1215/S0012-7094-07-13635-4

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Published: 15 February 2007

First available in Project Euclid: 29 January 2007

zbMATH: 1125.57004

MathSciNet: MR2309174

Digital Object Identifier: 10.1215/S0012-7094-07-13635-4

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Primary: 57M27

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