Dehn filling with non-degenerate boundary slope rows
type: Item
instance of: scholarly article
title: Dehn filling with non-degenerate boundary slope rows
zbMATH Open document ID: 0937.57019
DOI: 10.1016/S0166-8641(98)00081-9
author: Xingru Zhang
published in: Topology and its Applications
publication date: 2000-01-03T00:00:00Z
review text: The author generalizes a result of \textit{M. Culler}, \textit{C. McA. Gordon}, \textit{J. Luecke} and \textit{P. B. Shalen} [Ann. Math., II. Ser. 125, 237-300 (1987; Zbl 0633.57006)] on irreducible 3-manifolds with a single torus boundary and Betti number 1, (e.g. knot complements in the 3-sphere), to irreducible 3-manifolds not containing any closed essential surface and having \(n\) tori as boundary. The result delimits the manifolds which can result from Dehn surgery (disc attachments) along a set of \(m<n+1\) boundary curves on the tori.
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57R65
zbMATH DE Number: 1382625
zbMATH Keywords: Dehn surgery
zbMATH Keywords: 3-manifolds
reviewed by: Lee P. Neuwirth
MaRDI profile type: Publication
full work available at URL: s0166-8641(98)00081-9
OpenAlex ID: W2129272971
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description: scientific article; zbMATH DE number 1382625