Publication: A characterization of quasipositive two-bridge knots
Program
KU-Authors
Özbağcı, Burak
KU Authors
Co-Authors
Orevkov, Stepan
Advisor
Publication Date
Language
en
Type
Journal Title
Journal ISSN
Volume 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:
International Journal of Mathematics
Publisher:
World Scientific Publ Co Pte Ltd
Keywords:
Subject
Mathematics