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THE GENUS TWO GOERITZ GROUP OF S-2 x S-1open access
- Authors
- Cho, Sangbum; Koda, Yuya
- Issue Date
- Feb-2014
- Publisher
- INT PRESS BOSTON, INC
- Citation
- MATHEMATICAL RESEARCH LETTERS, v.21, no.3, pp.449 - 460
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATICAL RESEARCH LETTERS
- Volume
- 21
- Number
- 3
- Start Page
- 449
- End Page
- 460
- ISSN
- 1073-2780
- 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 S-2 x S-1 is finitely presented, and give its explicit presentation.
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Related Researcher
- Cho, Sang bum
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)