Khovanov-Rozansky Homology and Topological Strings
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CitationGukov, Sergei, Albert Schwarz, and Cumrun Vafa. 2005. “Khovanov-Rozansky Homology and Topological Strings.” Letters in Mathematical Physics 74 (1): 53–74. https://doi.org/10.1007/s11005-005-0008-8.
AbstractWe conjecture a relation between the sl(N) knot homology, recently introduced by Khovanov and Rozansky, and the spectrum of BPS states captured by open topological strings. This conjecture leads to new regularities among the sl(N) knot homology groups and suggests that they can be interpreted directly in topological string theory. We use this approach in various examples to predict the sl(N) knot homology groups for all values of N. We verify that our predictions pass some non-trivial checks.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41385043
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