Genus 2 Heegaard decompositions of small Seifert manifolds

Michel Boileau; D. J. Collins; H. Zieschang

Annales de l'institut Fourier (1991)

  • Volume: 41, Issue: 4, page 1005-1024
  • ISSN: 0373-0956

Abstract

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The genus 2 Heegaard splittings and decompositions of Seifert manifolds over S with 3 exeptional 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.

How to cite

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Boileau, Michel, Collins, D. J., and Zieschang, H.. "Genus 2 Heegaard decompositions of small Seifert manifolds." Annales de l'institut Fourier 41.4 (1991): 1005-1024. <http://eudml.org/doc/74937>.

@article{Boileau1991,
abstract = {The genus 2 Heegaard splittings and decompositions of Seifert manifolds over $S$ with 3 exeptional 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.},
author = {Boileau, Michel, Collins, D. J., Zieschang, H.},
journal = {Annales de l'institut Fourier},
keywords = {Nielsen equivalence; Heegaard splittings; Seifert manifolds},
language = {eng},
number = {4},
pages = {1005-1024},
publisher = {Association des Annales de l'Institut Fourier},
title = {Genus 2 Heegaard decompositions of small Seifert manifolds},
url = {http://eudml.org/doc/74937},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Boileau, Michel
AU - Collins, D. J.
AU - Zieschang, H.
TI - Genus 2 Heegaard decompositions of small Seifert manifolds
JO - Annales de l'institut Fourier
PY - 1991
PB - Association des Annales de l'Institut Fourier
VL - 41
IS - 4
SP - 1005
EP - 1024
AB - The genus 2 Heegaard splittings and decompositions of Seifert manifolds over $S$ with 3 exeptional 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.
LA - eng
KW - Nielsen equivalence; Heegaard splittings; Seifert manifolds
UR - http://eudml.org/doc/74937
ER -

References

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