English

On knot invariants which are not of finite type

Geometric Topology 2007-05-23 v1 Quantum Algebra

Abstract

We observe that most known results of the form "v is not a finite-type invariant" follow from two basic theorems. Among those invariants which are not of finite type, we discuss examples which are "ft-independent" and examples which are not. We introduce (n,q)-finite invariants, which are generalizations of finite-type invariants based on Fox's (n,q) congruence classes of knots.

Keywords

Cite

@article{arxiv.math/9903057,
  title  = {On knot invariants which are not of finite type},
  author = {Theodore Stanford and Rolland Trapp},
  journal= {arXiv preprint arXiv:math/9903057},
  year   = {2007}
}

Comments

6 pages, no figures