Open Access
March 2005 Slice and Gordian numbers of track knots
Sebastian Baader
Osaka J. Math. 42(1): 257-271 (March 2005).

Abstract

We present a class of knots associated with labelled generic immersions of intervals into the plane and compute their Gordian numbers and 4-dimensional invariants. At least 10\,\% of the knots in Rolfsen's table belong to this class of knots. We call them track knots. They are contained in the class of quasipositive knots. In this connection, we classify quasipositive knots and strongly quasipositive knots up to ten crossings.

Citation

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Sebastian Baader. "Slice and Gordian numbers of track knots." Osaka J. Math. 42 (1) 257 - 271, March 2005.

Information

Published: March 2005
First available in Project Euclid: 21 July 2006

zbMATH: 1084.57004
MathSciNet: MR2132015

Rights: Copyright © 2005 Osaka University and Osaka City University, Departments of Mathematics

Vol.42 • No. 1 • March 2005
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