English

The unknotting number and classical invariants II

Geometric Topology 2013-08-05 v2

Abstract

In [BF12] the authors associated to a knot K an invariant n_R(K) which is defined using the Blanchfield form and which gives a lower bound on the unknotting number. In this paper we express n_R(K) in terms of Levine-Tristram signatures and nullities of K. In the proof we also show that the Blanchfield form with real coefficients is diagonalizable.

Keywords

Cite

@article{arxiv.1207.2413,
  title  = {The unknotting number and classical invariants II},
  author = {Maciej Borodzik and Stefan Friedl},
  journal= {arXiv preprint arXiv:1207.2413},
  year   = {2013}
}

Comments

26 pages, one figure

R2 v1 2026-06-21T21:33:30.223Z