Corpus ID: 204744132

Knot Colorings: Coloring and Goeritz matrices

  title={Knot Colorings: Coloring and Goeritz matrices},
  author={Sudipta Kolay},
  journal={arXiv: Geometric Topology},
  • S. Kolay
  • Published 17 October 2019
  • Mathematics
  • arXiv: Geometric Topology
Knot colorings are one of the simplest ways to distinguish knots, dating back to Reidemeister, and popularized by Fox. In this mostly expository article, we discuss knot invariants like colorability, knot determinant and number of colorings, and how these can be computed from either the coloring matrix or the Goeritz matrix. We give an elementary approach to this equivalence, without using any algebraic topology. We also compute knot determinant, nullity of pretzel knots with arbitrarily many… Expand
1 Citations
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