V n ) LINK INVARIANT AND MATRIX FACTORIZATIONS
نویسنده
چکیده
M. Khovanov and L. Rozansky gave a categorification of the HOMFLY-PT polynomial. This study is a generalization of the Khovanov-Rozansky homology. We define a homology associated to the quantum (sln,∧Vn) link invariant, where ∧Vn is the set of the fundamental representations of the quantum group of sln. In the case of a [1, k]-colored link diagram, we prove that its homology is a link invariant. In the case of an [i, j]-colored link diagram, we define a normalized Poincaré polynomial of its homology and prove the polynomial is a link invariant.
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تاریخ انتشار 2009