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Automorphisms of the
three-torus preserving a genus-three Heegaard splitting
Jesse Johnson |
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Vol. 253 (2011), No. 1, 75–94
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Abstract |
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The mapping class group of a Heegaard splitting is the group of connected components in the set of automorphisms of the ambient manifold that map the Heegaard surface onto itself. For the genus-three Heegaard splitting of the 3-torus, we find an eight element generating set for this group. Six of these generators induce generating elements of the mapping class group of the 3-torus and the remaining two are isotopy trivial in the 3-torus. |
Keywords
Heegaard splitting, mapping class group, 3-torus
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Mathematical Subject Classification 2000
Primary: 57N10
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Milestones
Received: 28 May 2010
Revised: 13 January 2011
Accepted: 20 January 2011
Published: 28 November 2011
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Authors |
| Jesse Johnson | |
| Department of Mathematics Oklahoma State University Stillwater OK 74078 United States |
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| http://www.math.okstate.edu/~jjohnson/ | |
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