Heegaard splittings of the pair of solid torus and the core loop.
Hayashi, Chuichiro ; Shimokawa, Koya
Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001), p. 479-501 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2001-01-01
DMLE-ID : 986 
@article{urn:eudml:doc:44536,
     title = {Heegaard splittings of the pair of solid torus and the core loop.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {14},
     year = {2001},
     pages = {479-501},
     zbl = {0996.57012},
     mrnumber = {MR1871309},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44536}
}

Hayashi, Chuichiro; Shimokawa, Koya. Heegaard splittings of the pair of solid torus and the core loop.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 479-501. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44536/