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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Twist decompositions of gluing homeomorphisms of planar Heegaard diagrams of genus two


Authors: Yoshiko Sakata, Mitsuyuki Ochiai and Kayo Satoh
Journal: Proc. Amer. Math. Soc. 129 (2001), 559-566
MSC (1991): Primary 57M25; Secondary 57M35
Published electronically: October 12, 2000
MathSciNet review: 1707530
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Abstract: We will give a very simple algorithm to decompose a gluing homeomorphism of a planar Heegaard diagram of genus two into Dehn twists associated with the canonical base.


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Additional Information

Yoshiko Sakata
Affiliation: Department of Information and Computer Sciences, Faculty of Science, Nara Women’s University, Nara 630, Japan
Email: ysakata@isc.chubu.ac.jp

Mitsuyuki Ochiai
Affiliation: Department of Information and Computer Sciences, Faculty of Science, Nara Women’s University, Nara 630, Japan
Email: ochiai@ics.nara-wu.ac.jp

Kayo Satoh
Affiliation: Department of Information and Computer Sciences, Faculty of Science, Nara Women’s University, Nara 630, Japan

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05575-1
PII: S 0002-9939(00)05575-1
Keywords: 2-bridge link, Dehn surgery, Dehn twist, Heegaard diagram
Received by editor(s): January 5, 1999
Received by editor(s) in revised form: April 30, 1999
Published electronically: October 12, 2000
Communicated by: Ronald Fintushel
Article copyright: © Copyright 2000 American Mathematical Society