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Recurrent Sequences of Polynomials in Three-Dimensional Topology

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Abstract

A sequence of polynomials in several variables is recurrent if it satisfies a linear recursion with fixed polynomial coefficients. The Newton polytope of a recurrent sequence of polynomials is quasi-linear. Our goal is to give examples of recurrent sequences of polynomials that appear in three-dimensional topology, classical, and quantum.

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Acknowledgments

The author wishes to thank N. Dunfield, T.T.Q. Le and T. Mattman for useful conversations. The author was supported in part by NSF.

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  1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA

    Stavros Garoufalidis

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  1. Stavros Garoufalidis
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Correspondence to Stavros Garoufalidis.

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Garoufalidis, S. Recurrent Sequences of Polynomials in Three-Dimensional Topology. Acta Math Vietnam 39, 541–548 (2014). https://doi.org/10.1007/s40306-014-0086-8

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