Longitudinal slope and Dehn fillings
type: Item
instance of: scholarly article
title: Longitudinal slope and Dehn fillings
zbMATH Open document ID: 1029.57007
author: Nabil Sayari
author: Daniel Matignon
published in: Hiroshima Mathematical Journal
publication date: 2003-10-13T00:00:00Z
review text: Let \(M\) be an irreducible 3-manifold with indecomposable torus boundary \(T\) and \(\gamma\) a slope on \(T\) bounding an incompressible surface of genus \(g\). It is assumed that there is a slope \(r\) which produces an essential 2-sphere by Dehn filling and \(q\) is the minimal geometric intersection number between the essential 2-sphere and the core of the Dehn filling. It is then shown that \(q= 2\) or the minimal geometric intersection number between \(\gamma\) and \(r\) is bounded by \(2g- 1\).
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M15
zbMATH DE Number: 1991035
zbMATH Keywords: 3-manifold
zbMATH Keywords: slope
zbMATH Keywords: Dehn filling
zbMATH Keywords: intersection number
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1150997871
OpenAlex ID: W1573656976
Wikidata QID: Q128868958
DOI: 10.32917/HMJ/1150997871
description: scientific article; zbMATH DE number 1991035