Corpus ID: 10687400

A Minus Sign That Used to Annoy Me But Now I Know Why It Is There (Two Constructions of the Jones Polynomial)

@inproceedings{Tingley2010AMS,
  title={A Minus Sign That Used to Annoy Me But Now I Know Why It Is There (Two Constructions of the Jones Polynomial)},
  author={Peter Tingley},
  year={2010}
}
  • Peter Tingley
  • Published 2010
  • Mathematics, Philosophy
  • There are (at least) two well known constructions of link invariants. One uses skein theory: you resolve each crossing of the link as a linear combination of things that don’t cross, until you eventually get a linear combination of links with no crossings, which you turn into a polynomial. The other uses quantum groups: you construct a functor from a topological category to some category of representations, in such a way that (oriented framed) links get sent to endomorphisms of the trivial… CONTINUE READING
    10 Citations

    Figures from this paper

    Module categories and modular invariants
    • PDF
    Knot polynomial identities and quantum group coincidences
    • 20
    • PDF
    Eigenvalues of rotations and braids in spherical fusion categories
    • 4
    • PDF
    Odd knot invariants from quantum covering groups
    • 4
    • Highly Influenced
    The Temperley-Lieb categories and skein modules
    • 4
    • PDF

    References

    SHOWING 1-10 OF 31 REFERENCES
    State Models and the Jones Polynomial
    • 1,164
    • PDF
    A polynomial invariant for knots via von Neumann algebras
    • 1,408
    • PDF
    Quantum Groups
    • 2,491
    • PDF
    Links, quantum groups and TQFTs
    • 45
    • PDF
    Quantum Invariants of Knots and 3-Manifolds
    • 1,251
    • PDF
    The half-twist for U_q(g) representations
    • 16
    • PDF
    Quantum Groups
    • 4,281