Link invariants from the Yokonuma-Hecke algebras (Q1697063)

From MaRDI portal





scientific article; zbMATH DE number 6839271
Language Label Description Also known as
English
Link invariants from the Yokonuma-Hecke algebras
scientific article; zbMATH DE number 6839271

    Statements

    Link invariants from the Yokonuma-Hecke algebras (English)
    0 references
    0 references
    0 references
    15 February 2018
    0 references
    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].
    0 references
    Markov trace
    0 references
    Hecke algebra
    0 references
    knot invariant
    0 references
    HOMFLYPT polynomial
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references