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Computing Khovanov-Rozansky homology and defect fusion | | Nils Carqueville
; Daniel Murfet
; | | Date: |
4 Aug 2011 | | Abstract: | We compute the categorified sl(N) link invariants as defined by Khovanov and
Rozansky, for various links and various values of N. This direct computation is
made tractable by a general and constructive method for reducing tensor
products of matrix factorisations to finite rank, a process which can also be
interpreted as the fusion of defects in B-twisted Landau-Ginzburg models. We
implement this method on the computer and show how to use it in practice. | | Source: | arXiv, 1108.1081 | | Services: | Forum | Review | PDF | Favorites | |
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