Matrix factorizations and link homology

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For 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.
108 pages, 61 figures, latex, eps

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Quantum Algebra, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/69913

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401268
 http://arxiv.org/abs/math/0401268

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arXiv