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

Author(s): Yoshiko Sakata; Mitsuyuki Ochiai; Kayo Satoh
Journal: Proc. Amer. Math. Soc. 129 (2001), 559-566.
MSC (1991): Primary 57M25; Secondary 57M35
Posted: October 12, 2000
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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.

References:

[L1]: W. B. R. Lickorish, A Representation of Orientable Combinatorial 3-Manifolds, Annals of Math. 76 (1962), 531-540. MR 27:1929
[L2]: W. B. R. Lickorish, A finite set of generators for the homeotopy group of a -manifold, Proc. Camb. Phil. Soc. 60 (1964), 769-778. MR 30:1500
[L3]: W. B. R. Lickorish, On the Homeotopy Group of a 2-Manifold (corrigendum), Proc. Camb. Phil. Soc. 62 (1966), 679-681. MR 34:799
[O]: M. Ochiai, Heegaard Diagrams of 3-Manifolds, Trans. Amer. Math. Soc. 328 (1991), 863-879. MR 92c:57016


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