Heegaard splittings of Seifert fibered spaces
type: Item
instance of: scholarly article
title: Heegaard splittings of Seifert fibered spaces
zbMATH Open document ID: 0651.57012
DOI: 10.1007/BF01388781
author: Yoav Moriah
published in: Inventiones Mathematicae
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143549
review text: This paper gives a classification theorem of genus two Heegaard splittings of Seifert fibered spaces over \(S^ 2\) with three exceptional fibers, except for when two of the exceptional fibers have the same invariants with opposite orientation. The main idea was to distinguish between the Heegaard splittings by distinguishing between the Nielsen equivalence classes of pairs of generators for the fundamental group of the manifold determined by them. Distinguishing Nielsen equivalence classes in groups which are not one relator groups is an algebraic result in its own right.
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57Q35
zbMATH DE Number: 4062163
zbMATH Keywords: genus two Heegaard splittings of Seifert fibered spaces over \(S^ 2\) with three exceptional fibers
zbMATH Keywords: Nielsen equivalence classes of pairs of generators
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4062163