Virtual Crossing Number and the Arrow Polynomial

Details Virtual Crossing Number and the Arrow Polynomial Virtual Crossing Number and the Arrow Polynomial

2008-10-21

arxiv.org/abs/0810.3858v3

Mathematics

Geometric Topology

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

Scientific paper

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.

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