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

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dc.creatorYonezawa, Yasuyoshi
dc.date2007-03-27
dc.date2007-03-28
dc.date.accessioned2026-07-07T07:54:06Z
dc.date.available2026-07-07T07:54:06Z
dc.descriptionThis 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}.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0703779
dc.identifierhttp://arxiv.org/abs/math/0703779
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126471
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject18G60
dc.titleMatrix factorizations and double line in $\mathfrak{sl}_n$ quantum link invariant
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