Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras

Abstract

The construction of link polynomials associated with finite dimensional representations of ribbon quasi-Hopf algebras is discussed in terms of the formulation of an appropriate Markov trace. We then show that this Markov trace is invariant under twisting of the quasi-Hopf structure, which in turn implies twisting invariance of the associated link polynomials.

18 pages, LaTeX, no figures

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• Elliptic algebra U_{q,p}(^sl_2): Drinfeld currents and vertex operators
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Cited by in corpus (4)

• Some Twisted Results
• Towards a Diagrammatic Analogue of the Reshetikhin-Turaev Link Invariants
• Quasi-Hopf $\ast$-Algebras
• An algebraic origin for quark confinement