GENUS-2 HEEGAARD DECOMPOSITIONS OF SMALL SEIFERT MANIFOLDS

被引：15
作者：
BOILEAU, M
COLLINS, DJ
ZIESCHANG, H
机构：
[1] UNIV TOULOUSE 3,DEPT MATH,GEOMETRIE & TOPOL LAB,F-31062 TOULOUSE,FRANCE
[2] UNIV LONDON QUEEN MARY COLL,SCH MATH STUDIES,LONDON E1 4NS,ENGLAND
[3] RUHR UNIV BOCHUM,FAK MATH,W-4630 BOCHUM 1,GERMANY
来源：
ANNALES DE L INSTITUT FOURIER | 1991年 / 41卷 / 04期
关键词：
HEEGAARD DECOMPOSITION; SEIFERT MANIFOLDS; GENERATING SYSTEM; NIELSEN EQUIVALENCE;
D O I：
10.5802/aif.1282
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The genus 2 Heegaard splittings and decompositions of Seifert manifolds over S with 3 exceptional fibres are classified with respect to isotopies and homeomorphisms. In general there are 3 different isotopy classes of Heegaard splittings and 6 different isotopy classes of Heegaard decompositions. Moreover, we determine when a homeomorphism class is not an isotopy class.
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页码：1005 / 1024
页数：20
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