%0 Journal Article
%T A refinement of Johnson's bounding for the stable genera of Heegaard splittings
%A Kazuto Takao
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1005.1467v2