Matrix factorizations and link homology

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dc.creatorKhovanov, Mikhail
dc.creatorRozansky, Lev
dc.date2004-01-21
dc.date2004-03-22
dc.date.accessioned2026-07-07T05:04:43Z
dc.date.available2026-07-07T05:04:43Z
dc.descriptionFor each positive integer n the HOMFLY polynomial of links specializes to a one-variable polynomial that can be recovered from the representation theory of quantum sl(n). For each such n we build a doubly-graded homology theory of links with this polynomial as the Euler characteristic. The core of our construction utilizes the theory of matrix factorizations, which provide a linear algebra description of maximal Cohen-Macaulay modules on isolated hypersurface singularities.
dc.description108 pages, 61 figures, latex, eps
dc.identifierhttps://arxiv.org/abs/math/0401268
dc.identifierhttp://arxiv.org/abs/math/0401268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69913
dc.subjectQuantum Algebra
dc.subject57M25
dc.titleMatrix factorizations and link homology
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