A New Algorithm for Numerical Calculation of Link Invariants

Tetsuo Deguchi; Kyoichi Tsurusaki

doi:10.1016/0375-9601(93)90537-A

A New Algorithm for Numerical Calculation of Link Invariants

高能物理 - 理论 2009-10-22 v1

作者: Tetsuo Deguchi , Kyoichi Tsurusaki

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摘要

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 $N^{\alpha}$ 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.

关键词

knot invariants

引用

@article{arxiv.hep-th/9209119,
  title  = {A New Algorithm for Numerical Calculation of Link Invariants},
  author = {Tetsuo Deguchi and Kyoichi Tsurusaki},
  journal= {arXiv preprint arXiv:hep-th/9209119},
  year   = {2009}
}

备注

20 pages, September 1992

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