4 research outputs found

    String theory and the Kauffman polynomial

    Full text link
    We propose a new, precise integrality conjecture for the colored Kauffman polynomial of knots and links inspired by large N dualities and the structure of topological string theory on orientifolds. According to this conjecture, the natural knot invariant in an unoriented theory involves both the colored Kauffman polynomial and the colored HOMFLY polynomial for composite representations, i.e. it involves the full HOMFLY skein of the annulus. The conjecture sheds new light on the relationship between the Kauffman and the HOMFLY polynomials, and it implies for example Rudolph's theorem. We provide various non-trivial tests of the conjecture and we sketch the string theory arguments that lead to it.Comment: 36 pages, many figures; references and examples added, typos corrected, final version to appear in CM

    Skein theoretic idempotents of Hecke algebras and quantum group invariants

    No full text
    SIGLEAvailable from British Library Document Supply Centre-DSC:DXN005641 / BLDSC - British Library Document Supply CentreGBUnited Kingdo
    corecore