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

Kazuto Takao

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arXiv · 1005.1467

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

Kazuto Takao

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Abstract

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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Kazuto Takao. 2010-05-10. A refinement of Johnson's bounding for the stable genera of Heegaard splittings. https://arxiv.org/abs/1005.1467

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