GENUS-TWO GOERITZ GROUPS OF LENS SPACES

Title
GENUS-TWO GOERITZ GROUPS OF LENS SPACES
Author
조상범
Keywords
Heegaard splitting; Goeritz group; lens space; disk complex
Issue Date
2013-09
Publisher
Pacific Journal of Mathematics
Citation
Pacific Journal of Mathematics, 2013, 265(1), P.1-16
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.
Description
Ministry of Education, Science, and Technology
URI
https://msp.org/pjm/2013/265-1/p01.xhtmlhttp://hdl.handle.net/20.500.11754/53106
ISSN
0030-8730
DOI
10.2140/pjm.2013.265.1
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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