Heegaard splittings of the pair of solid torus and the core loop.

Chuichiro Hayashi; Koya Shimokawa

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 2, page 479-501
  • ISSN: 1139-1138

Abstract

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We show that any Heegaard splitting of the pair of the solid torus (≅D2xS1) and its core loop (an interior point xS1) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.

How to cite

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Hayashi, Chuichiro, and Shimokawa, Koya. "Heegaard splittings of the pair of solid torus and the core loop.." Revista Matemática Complutense 14.2 (2001): 479-501. <http://eudml.org/doc/44536>.

@article{Hayashi2001,
abstract = {We show that any Heegaard splitting of the pair of the solid torus (≅D2xS1) and its core loop (an interior point xS1) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.},
author = {Hayashi, Chuichiro, Shimokawa, Koya},
journal = {Revista Matemática Complutense},
keywords = {Variedades topológicas; 3-variedades; Toros geométricos; compression bodies},
language = {eng},
number = {2},
pages = {479-501},
title = {Heegaard splittings of the pair of solid torus and the core loop.},
url = {http://eudml.org/doc/44536},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Hayashi, Chuichiro
AU - Shimokawa, Koya
TI - Heegaard splittings of the pair of solid torus and the core loop.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 2
SP - 479
EP - 501
AB - We show that any Heegaard splitting of the pair of the solid torus (≅D2xS1) and its core loop (an interior point xS1) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.
LA - eng
KW - Variedades topológicas; 3-variedades; Toros geométricos; compression bodies
UR - http://eudml.org/doc/44536
ER -

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