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Invariants of knot diagrams

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Davis, CA, 95616, USA

    Joel Hass

  2. Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel

    Tahl Nowik

Authors
  1. Joel Hass
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  2. Tahl Nowik
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Corresponding author

Correspondence to Joel Hass.

Additional information

J. Hass was partially supported by an NSF grant.

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Hass, J., Nowik, T. Invariants of knot diagrams. Math. Ann. 342, 125–137 (2008). https://doi.org/10.1007/s00208-008-0224-5

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  • DOI: https://doi.org/10.1007/s00208-008-0224-5

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