Virtual Crossing Number and the Arrow Polynomial

2008/10/21 by H. A. Dye, Louis H. Kauffman, Dye, H. A. +1 · 1 citation
Mathematics · #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27

paper · pdf · doi:10.48550/arxiv.0810.3858

28 pages, 35 figures v2: Updated bibliography and Soulie knot v3: Updated bibliography and bound on genus

arxiv created 2009/02/24 · arxiv updated 2009/12/01

Abstract

We introduce a new polynomial invariant of virtual knots and links and use this invariant to compute a lower bound on the virtual crossing number and the minimal surface genus.

Cited by

• U_q(\mathfrakgl(m|n)) bounds on the minimal genus of virtual links

Related

• Lower bounds on virtual crossing number and minimal surface genus
• On Virtual Crossing Numbers for Virtual Knots
• An Extended Bracket Polynomial for Virtual Knots and Links
• On Virtual Crossing Number Estimates For Virtual Links
• On two categorifications of the arrow polynomial for virtual knots