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THE NON-COMMUTATIVE A-POLYNOMIAL OF TWIST KNOTS

THE NON-COMMUTATIVE A-POLYNOMIAL OF TWIST KNOTS

The purpose of the paper is two-fold: to introduce a multivariable creative telescoping method, and to apply it in a problem of Quantum Topology: namely the computation of the non-commutative A-polynomial of twist knots. Our multivariable creative telescoping method allows us to compute linear recursions for sums of the form …