Quantum (sln, ∧V n) link invariant and matrix factorizations
2011 ◽
Vol 204
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pp. 69-123
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AbstractIn this paper, we give a generalization of Khovanov-Rozansky homology. We define a homology associated to the quantum (sln, ∧Vn) link invariant, where ∧Vn is the set of fundamental representations of Uq(sln). In the case of an oriented link diagram composed of [k, 1]-crossings, we define a homology and prove that the homology is invariant under Reidemeister II and III moves. In the case of an oriented link diagram composed of general [i,j]-crossings, we define a normalized Poincaré polynomial of homology and prove that the normalized Poincaré polynomial is a link invariant.
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2021 ◽
Vol 30
(01)
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pp. 2150004
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2017 ◽
Vol 26
(05)
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pp. 1750029
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Keyword(s):
2017 ◽
Vol 26
(09)
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pp. 1743007
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2014 ◽
Vol 23
(08)
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pp. 1450041
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1990 ◽
Vol 108
(1)
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pp. 55-61
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