A refinement of Johnson's bounding for the stable genera of Heegaard splittings
Takao, Kazuto
Osaka J. Math., Tome 48 (2011) no. 1, p. 251-268 / Harvested from Project Euclid
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For each integer $k \geq 2$, Johnson gave a $3$-manifold with Heegaard splittings of genera $2k$ and $2k-1$ such that any common stabilization of these two surfaces has genus at least $3k-1$. We modify his argument to produce a $3$-manifold with two Heegaard splitings of genus $2k$ such that any common stabilization of them has genus at least $3k$.
Publié le : 2011-03-15
Classification:  57N10,  57M50 
@article{1300802713,
     author = {Takao, Kazuto},
     title = {A refinement of Johnson's bounding for the stable genera of Heegaard splittings},
     journal = {Osaka J. Math.},
     volume = {48},
     number = {1},
     year = {2011},
     pages = { 251-268},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1300802713}
}

Takao, Kazuto. A refinement of Johnson's bounding for the stable genera of Heegaard splittings. Osaka J. Math., Tome 48 (2011) no. 1, pp.  251-268. http://gdmltest.u-ga.fr/item/1300802713/