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This article is available for purchase or by subscription. See below.
Abstract
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We prove that any collection of mutually disjoint and nonparallel genus
one orientable Seifert surfaces in the exterior of a hyperbolic knot in the
–sphere has
at most
components and that this bound is optimal.
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Keywords
hyperbolic knot, genus one knot, Seifert surface
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Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 57N10
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Publication
Received: 14 August 2017
Revised: 6 July 2018
Accepted: 22 August 2018
Published: 20 October 2019
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