Abstract
The genus-g Goeritz group is the group of isotopy classes of orientationpreserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of S2 × S1 is finitely presented, and give its explicit presentation.
Original language | English |
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Pages (from-to) | 449-460 |
Number of pages | 12 |
Journal | Mathematical Research Letters |
Volume | 21 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2014 Jan 1 |
ASJC Scopus subject areas
- Mathematics(all)