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GENUS-TWO GOERITZ GROUPS OF LENS SPACES
- Authors
- Cho, Sangbum
- Issue Date
- Sep-2013
- Publisher
- University of California at Berkeley
- Keywords
- Heegaard splitting; Goeritz group; lens space; disk complex
- Citation
- Pacific Journal of Mathematics, v.265, no.1, pp 1 - 16
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- Pacific Journal of Mathematics
- Volume
- 265
- Number
- 1
- Start Page
- 1
- End Page
- 16
- ISSN
- 0030-8730
- Abstract
- Given a genus-g Heegaard splitting of a 3-manifold, the Goeritz group is defined to be the group of isotopy classes of orientation-preserving homeomorphisms of the manifold that preserve the splitting. In this work, we show that the Goeritz groups of genus-2 Heegaard splittings for lens spaces L(p, 1) are finitely presented, and give explicit presentations of them.
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Related Researcher
- Cho, Sang bum
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)