Publication: A characterization of quasipositive two-bridge knots
Program
KU-Authors
KU Authors
Co-Authors
Orevkov, Stepan
Publication Date
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Type
Embargo Status
Journal Title
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Volume Title
Alternative Title
Abstract
We prove a simple necessary and sufficient condition for a two-bridge knot K(p,q) to be quasipositive, based on the continued fraction expansion of p/q. As an application, coupled with some classification results in contact and symplectic topology, we give a new proof of the fact that smoothly slice two-bridge knots are non-quasipositive. Another proof of this fact using methods within the scope of knot theory is presented in Appendix A, by Stepan Orevkov.
Source
Publisher
World Scientific Publ Co Pte Ltd
Subject
Mathematics
Citation
Has Part
Source
International Journal of Mathematics
Book Series Title
Edition
DOI
10.1142/S0129167X24500150