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Recursion Formulas for HOMFLY and Kauffman Invariants

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    Abstract

    In this paper, we describe the recursion relations between two parameter HOMFLY and Kauffman polynomials of framed links. These relations correspond to embeddings of quantized universal enveloping algebras. The relation corresponding to embeddings g_{n} ⊃ g_{k} × sl_{n-k} where g_{n} is either so_{2n+1}, so_{2n} or sp_{2n} is new.
    Original languageEnglish
    Pages (from-to)1-23
    Number of pages23
    JournalJournal of Knot Theory and Its Ramifications
    Volume23
    Issue number5
    Publication statusPublished - Apr 2014

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