The Heegaard genus of oriented 3-manifolds.

Phoebe Hoidn

Revista Matemática de la Universidad Complutense de Madrid (1996)

  • Volume: 9, Issue: 2, page 351-358
  • ISSN: 1139-1138

Abstract

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We consider irreducible, closed, oriented, connected 3-manifolds with a nontrivial fundamental group, and link Heegaard genus to fundamental domains. We shall show that the Heegaard genus is the least positive integer h(M) for which the manifold has a fundamental domain with 2·h(M) faces.

How to cite

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Hoidn, Phoebe. "Le genre de Heegaard de 3-variétés orientables.." Revista Matemática de la Universidad Complutense de Madrid 9.2 (1996): 351-358. <http://eudml.org/doc/44229>.

@article{Hoidn1996,
author = {Hoidn, Phoebe},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {3-variedades; Teoría de grupos; Variedad fibrada de Seifert; Variedad cerrada; Topología general; 3-manifolds; fundamental group; Heegaard genus},
language = {fre},
number = {2},
pages = {351-358},
title = {Le genre de Heegaard de 3-variétés orientables.},
url = {http://eudml.org/doc/44229},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Hoidn, Phoebe
TI - Le genre de Heegaard de 3-variétés orientables.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - 2
SP - 351
EP - 358
LA - fre
KW - 3-variedades; Teoría de grupos; Variedad fibrada de Seifert; Variedad cerrada; Topología general; 3-manifolds; fundamental group; Heegaard genus
UR - http://eudml.org/doc/44229
ER -

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