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

Autores: Chuichiro Hayashi, K. Shimokawa
Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 14, Nº 2, 2001, págs. 479-504
Idioma: inglés
DOI: 10.5209/rev_rema.2001.v14.n2.17015
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Resumen
- We show that any Heegaard splitting of the pair of the solid torus (@D2¿S1) and its core loop (an interior point ¿S1) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.