A New Algorithm for Numerical Calculation of Link Invariants
Tetsuo Deguchi, Kyoichi Tsurusaki
Abstract
We propose a new method for numerical calculation of link plynomials for knots given in 3 dimensions. We calculate derivatives of the Jones polynomial in a computational time proportional to Nα with respect to the system size N . This method gives a new tool for determining topology of knotted closed loops in three dimensions using computers.
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