• Corpus ID: 214743203

Petal Projections, Knot Colorings and Determinants

  title={Petal Projections, Knot Colorings and Determinants},
  author={Allison Henrich and Robert Truax},
  journal={arXiv: Geometric Topology},
An ubercrossing diagram is a knot diagram with only one crossing that may involve more than two strands of the knot. Such a diagram without any nested loops is called a petal projection. Every knot has a petal projection from which the knot can be recovered using a permutation that represents strand heights. Using this permutation, we give an algorithm that determines the $p$-colorability and the determinants of knots from their petal projections. In particular, we compute the determinants of… 


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