[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2020.60.4.831

Klein Bottles and Dehn Filling on a Component of Two-component Link Exterior

Sayari, Nabil (Departement de Mathematiques et de Statistique, Universite de Moncton)

Publication Information

Kyungpook Mathematical Journal / v.60, no.4, 2020 , pp. 831-837 More about this Journal

Abstract

Let M be the exterior of a hyperbolic link K ∪ L in a homology 3-sphere Y, such that the linking number lk(K, L) is non-zero. In this note we prove that if γ is a slope in ∂N(L) such that the manifold ML(γ) obtained by γ-Dehn filling along ∂N(L) contains a Klein bottle, then there is a bound on Δ(μ, γ), depending on the genus of K and on lk(K, L).

Keywords

Dehn filling; essential surface; Klein bottle; Scharlemann cycle;

Citations & Related Records

Reference

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