Lower bounds on virtual crossing number and minimal surface genus

2009/04/09 by Kumud Bhandari, H. A. Dye, Bhandari, Kumud +3
Mathematics · #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27

paper · pdf · doi:10.48550/arxiv.0904.1525

17 Pages, 18 figures and 7 tables

arxiv created 2009/04/09 · arxiv updated 2009/12/01

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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• An Extended Bracket Polynomial for Virtual Knots and Links
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