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Author Johnson, Jesse
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-07-17
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Geometric Topology ♦ 57N10 ♦ math
Abstract We describe for each postive integer $k$ a 3-manifold with Heegaard surfaces of genus $2k$ and $2k-1$ such that any common stabilization of these two surfaces has genus at least $3k-1$. We also show that for every positive $n$, there is a 3-manifold that has $n$ pairwise non-isotopic Heegaard splittings of the same genus all of which are stabilized.
Educational Use Research
Learning Resource Type Article
Page Count 24


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