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Minimal genus and fibering of canonical surfaces via disk decomposition
Published online by Cambridge University Press: 01 May 2014
Abstract
This paper contains some applications of the description of knot diagrams by genus, and Gabai’s methods of disk decomposition. We show that there exists no genus one knot of canonical genus 2, and that canonical genus 2 fiber surfaces realize almost every Alexander polynomial only finitely many times (partially confirming a conjecture of Neuwirth).
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- Research Article
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- © The Author 2014
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