On polynomial Torus Knots

Pierre-Vincent Koseleff; Daniel Pecker

On polynomial Torus Knots

代数几何 2011-11-09 v2

作者: Pierre-Vincent Koseleff , Daniel Pecker

摘要

We show that no torus knot of type $(2,n)$ , $n>3$ odd, can be obtained from a polynomial embedding $t \mapsto (f(t), g(t), h(t))$ where $(\deg(f),\deg(g))\leq (3,n+1)$ . Eventually, we give explicit examples with minimal lexicographic degree.

关键词

knot theory algebraic tori jones polynomial

引用

@article{arxiv.math/0610663,
  title  = {On polynomial Torus Knots},
  author = {Pierre-Vincent Koseleff and Daniel Pecker},
  journal= {arXiv preprint arXiv:math/0610663},
  year   = {2011}
}

备注

11 p. accepted for publication in Journal of Knot Theory and Ramifications

On polynomial Torus Knots

摘要

关键词

引用

备注

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