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Link invariants from the Yokonuma-Hecke algebras - MaRDI portal

Link invariants from the Yokonuma-Hecke algebras (Q1697063)

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scientific article; zbMATH DE number 6839271
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Link invariants from the Yokonuma-Hecke algebras
scientific article; zbMATH DE number 6839271

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    Link invariants from the Yokonuma-Hecke algebras (English)
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    15 February 2018
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    This paper surveys various results on invariants of links (classical, framed, singular and transverse) which can be obtained using the representation theory of Yokonuma-Hecke algebras. The paper makes an emphasis on a family of \(2\)-variable classical link invariants that are not topologically equivalent to the HOMPFLYPT polynomial and on a \(3\)-variable generalization of this family. For the entire collection see [Zbl 1387.00028].
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    Markov trace
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    Hecke algebra
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    knot invariant
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    HOMFLYPT polynomial
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