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Matrix Factorizations and Kauffman Homology

Gukov, Sergei and Walcher, Johannes (2005) Matrix Factorizations and Kauffman Homology. . (Submitted)

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The topological string interpretation of homological knot invariants has led to several insights into the structure of the theory in the case of sl(N). We study possible extensions of the matrix factorization approach to knot homology for other Lie groups and representations. In particular, we introduce a new triply graded theory categorifying the Kauffman polynomial, test it, and predict the Kauffman homology for several simple knots.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Gukov, Sergei0000-0002-9486-1762
Additional Information:We would like to thank M. Khovanov, M. Mariño, C. Vafa, and E. Witten for valuable discussions. We are grateful to the KITP, Santa Barbara for warm hospitality during the program “Mathematical Structures in String Theory”, where part of this work was carried out. This work was conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. This work was also supported in part by the DOE under grant number DE-FG02-90ER40542, in part by RFBR grant 04-02-16880 and in part by the NSF under Grant No. PHY99-07949.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-90ER40542
Russian Foundation for Basic Research04-02-16880
Clay Mathematics InstituteUNSPECIFIED
Record Number:CaltechAUTHORS:20160511-092422859
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66979
Deposited By: Tony Diaz
Deposited On:11 May 2016 16:51
Last Modified:09 Mar 2020 13:18

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