Geodesic
Seifert surfaces for genus one hyperbolic knots in the 3–sphere
Valdez-Sánchez, Luis1
1 Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX, United States
Algebraic and Geometric Topology, Tome 19 (2019) no. 5, pp. 2151-2231

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We prove that any collection of mutually disjoint and nonparallel genus one orientable Seifert surfaces in the exterior of a hyperbolic knot in the 3–sphere has at most 5 components and that this bound is optimal.

DOI : 10.2140/agt.2019.19.2151
Classification : 57M25, 57N10
Keywords: hyperbolic knot, genus one knot, Seifert surface

Valdez-Sánchez, Luis 1

1 Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX, United States 
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     title = {Seifert surfaces for genus one hyperbolic knots in the 3{\textendash}sphere},
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Valdez-Sánchez, Luis. Seifert surfaces for genus one hyperbolic knots in the 3–sphere. Algebraic and Geometric Topology, Tome 19 (2019) no. 5, pp. 2151-2231. doi: 10.2140/agt.2019.19.2151

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