On Minimum Genus Heegaard Splittings of Some Orientable Closed 3-Manifolds

MORIMOTO, Kanji

MORIMOTO, Kanji

Tokyo J. of Math., Tome 12 (1989) no. 2, p. 321-355 / Harvested from Project Euclid

Résumé

In this paper we deal with all 3-manifolds which are obtained by glueing the boundaries of two Seifert fibered spaces over a disk with two exceptional fibers. We will give a necessary and sufficient condition for those 3-manifolds to admit Heegaard splittings of genus two. Moreover we will evaluate the numbers of Heegaard splittings of genus two, up to isotopy, of those 3-manifolds. In fact, we will see that the numbers are at most four.

Publié le : 1989-12-15
Classification:

@article{1270133184,
     author = {MORIMOTO, Kanji},
     title = {On Minimum Genus Heegaard Splittings of Some Orientable Closed 3-Manifolds},
     journal = {Tokyo J. of Math.},
     volume = {12},
     number = {2},
     year = {1989},
     pages = { 321-355},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270133184}
}

MORIMOTO, Kanji. On Minimum Genus Heegaard Splittings of Some Orientable Closed 3-Manifolds. Tokyo J. of Math., Tome 12 (1989) no. 2, pp.  321-355. http://gdmltest.u-ga.fr/item/1270133184/