Matrix factorizations and double line in $\mathfrak{sl}_n$ quantum link invariant

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This article gives matrix factorizations for the trivalent diagrams and double line appearing in $\mathfrak{sl}_n$ quantum link invariant. These matrix factorizations reconstruct Khovanov-Rozansky homology. And we show that the Euler characteristic of the matrix factorization for a double loop equals the quantum dimension of the representation $\land^2 V$ of $U_q (\mathfrak{sl}_n)$ in Section \ref{sec3.3}.
17 pages

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Geometric Topology, Quantum Algebra, 18G60

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http://salesiana.dossiersoluciones.com/handle/123456789/126471

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703779
 http://arxiv.org/abs/math/0703779

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arXiv