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- W3100336996 abstract "The oriented framed Homfly skein C of the annulus provides the natural parameter space for the Homfly satellite invariants of a knot. It contains a submodule C+ isomorphic to the algebra of the symmetric functions. We collect and expand formulae relating elements expressed in terms of symmetric functions to Turaev's geometrical basis of C+. We reformulate the formulae of Rosso and Jones for quantum sl(N) invariants of cables in terms of plethysms of symmetric functions, and use the connection between quantum sl(N) invariants and C+ to give a formula for the satellite of a cable as an element of C+. We then analyse the case where a cable is decorated by the pattern which corresponds to a power sum in the symmetric function interpretation of C+ to get direct relations between the Homfly invariants of some diagrams decorated by power sums." @default.
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- W3100336996 date "2008-05-27" @default.
- W3100336996 modified "2023-10-17" @default.
- W3100336996 title "Geometrical relations and plethysms in the Homfly skein of the annulus" @default.
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- W3100336996 doi "https://doi.org/10.1112/jlms/jdn026" @default.
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