English

On Finite Type 3-manifold invariants IV: Comparison of Definitions

q-alg 2008-02-03 v2 Quantum Algebra

Abstract

This paper compares the definitions of finite-type invariants due to Ohtsuki and to Garoufalidis, showing that, residually, type 3m of the former equals type m of the latter. It also shows that type 2m Ohtsuki invariants define knot invariants of type 3m (first proved by Habegger).

Keywords

Cite

@article{arxiv.q-alg/9509028,
  title  = {On Finite Type 3-manifold invariants IV: Comparison of Definitions},
  author = {Stavros Garoufalidis and Jerome Levine},
  journal= {arXiv preprint arXiv:q-alg/9509028},
  year   = {2008}
}

Comments

13 pages, Postscript