A refinement of Johnson's bounding for the stable genera of Heegaard splittings

Details A refinement of Johnson's bounding for the stable genera of Heegaard splittings A refinement of Johnson's bounding for the stable genera of Heegaard splittings

2010-05-10

arxiv.org/abs/1005.1467v2

Osaka J. Math. 48 (2011), no. 1, 251-268

Mathematics

Geometric Topology

16 pages, 17 figures

Scientific paper

For each integer k > 1, 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.

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