Matrix Factorizations and Kauffman Homology

Details Matrix Factorizations and Kauffman Homology Matrix Factorizations and Kauffman Homology

2005-12-22

arxiv.org/abs/hep-th/0512298v1

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, harvmac

Scientific paper

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.

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