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March 2011 A refinement of Johnson's bounding for the stable genera of Heegaard splittings
Kazuto Takao
Osaka J. Math. 48(1): 251-268 (March 2011).

Abstract

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 $3k$.

Citation

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Kazuto Takao. "A refinement of Johnson's bounding for the stable genera of Heegaard splittings." Osaka J. Math. 48 (1) 251 - 268, March 2011.

Information

Published: March 2011
First available in Project Euclid: 22 March 2011

zbMATH: 1220.57012
MathSciNet: MR2802601

Subjects:
Primary: 57M50, 57N10

Rights: Copyright © 2011 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
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Vol.48 • No. 1 • March 2011
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