Acta Mathematica Vietnamica

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Recurrent Sequences of Polynomials in Three-Dimensional Topology
Stavros Garoufalidis

 

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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