Matrix Factorizations and Kauffman Homology
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 December 2005
 DOI:
 10.48550/arXiv.hepth/0512298
 arXiv:
 arXiv:hepth/0512298
 Bibcode:
 2005hep.th...12298G
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Geometric Topology;
 Mathematics  Quantum Algebra
 EPrint:
 45 pages, harvmac