GÖKOVA GEOMETRY / TOPOLOGY PROCEEDINGS

Published in Proceedings of Gökova Geometry-Topology Conference 2012
Title Crowell's state space is connected
Author Daniel Selahi Durusoy
Abstract
We study the set of Crowell states for alternating knot projections and show that for prime alternating knots the space of states for a reduced projection is connected, a result similar to that for Kauffman states. As an application we give a new proof of a result of Ozsvath and Szabo characterizing (2,2n+1) torus knots among alternating knots.
Keywords State sum, Alexander polynomial, spanning trees
Pages146-153
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