Lower Bounds on Virtual Crossing Number and Minimal Surface Genus

  • Bhandari K
  • Dye H
  • Kauffman L
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Abstract

We compute lower bounds on the virtual crossing number and minimal surface genus of virtual knot diagrams from the arrow polynomial. In particular, we focus on several interesting examples.

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Bhandari, K., Dye, H. A., & Kauffman, L. H. (2011). Lower Bounds on Virtual Crossing Number and Minimal Surface Genus. In The Mathematics of Knots (pp. 31–43). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-15637-3_2

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