Virtual Crossing Number and the Arrow Polynomial
Abstract
Description
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.
28 pages, 35 figures v2: Updated bibliography and Soulie knot v3: Updated bibliography and bound on genus
28 pages, 35 figures v2: Updated bibliography and Soulie knot v3: Updated bibliography and bound on genus