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Author Johnson, Jesse
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-05-28
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Geometric Topology ♦ 57N10 ♦ math
Abstract We show that the number of stabilizations needed to interchange the handlebodies of a Heegaard splitting of a closed 3-manifold by an isotopy is bounded below by the smaller of twice its genus or half its Hempel distance. This is a combinatorial version of a proof by Hass, Thompson and Thurston of a similar theorem, but with an explicit bound in terms of distance. We also show that in a 3-manifold with boundary, the stable genus of a Heegaard splitting and a boundary stabilization of itself is bounded below by the same value.
Educational Use Research
Learning Resource Type Article
Page Count 22


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