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Incompressible Surfaces and (1,2)-Knots, Geometry and Topology Monographs
MARIO EUDAVE MUÑOZ
Acceso Abierto
Atribución-NoComercial
Topologia
Nudos
We give a description of all (1,2)–knots in S3 which admit a closed meridionally incompressible surface of genus 2 in their complement. That is, we give several constructions of (1,2)–knots having a meridionally incompressible surface of genus 2, and then show that any such surface for a (1,2)–knot must come from one of the constructions. As an application, we show explicit examples of tunnel number one knots which are not (1,2)–knots.
Mathematical Science Publishers
03-12-2007
Artículo
Investigadores
TOPOLOGÍA GENERAL
Versión publicada
publishedVersion - Versión publicada
Aparece en las colecciones: Matemáticas

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