Mathematische Annalen

, Volume 342, Issue 1, pp 125–137

Invariants of knot diagrams

Article

DOI: 10.1007/s00208-008-0224-5

Cite this article as:
Hass, J. & Nowik, T. Math. Ann. (2008) 342: 125. doi:10.1007/s00208-008-0224-5

Abstract

We construct a new order 1 invariant for knot diagrams. We use it to determine the minimal number of Reidemeister moves needed to pass between certain pairs of knot diagrams.

Mathematics Subject Classification (2000)

57M25

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaDavisUSA
  2. 2.Department of MathematicsBar-Ilan UniversityRamat-GanIsrael