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THE GENUS TWO GOERITZ GROUP OF S-2 x S-1

Title
THE GENUS TWO GOERITZ GROUP OF S-2 x S-1
Author
조상범
Keywords
LENTICULAR SPACES; AUTOMORPHISMS; 3-SPHERE; PRESERVE
Issue Date
2014-10
Publisher
INT PRESS BOSTON, INC, PO BOX 43502, SOMERVILLE, MA 02143 USA
Citation
MATHEMATICAL RESEARCH LETTERS, 21권, 3호, pp.449-460
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.
URI
http://dx.doi.org/10.4310/MRL.2014.v21.n3.a2http://hdl.handle.net/20.500.11754/50608
ISBN
1945-001X
ISSN
1073-2780
DOI
10.4310/MRL.2014.v21.n3.a3
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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