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Geometry and Applications
March 13-16, 2000
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences and Novosibirsk State University
Novosibirsk, Russia

Organizers
Yu.G. Rushetnyak (Chair of Program Committee; Russia), V.V. Vershinin (Chair of Organizing Committee; Russia), A.A. Borisenko (Ukraine), Yu.D. Burago (Russia), V.M. Gol'dshtein (Israel), M.L. Gromov (France), I.G. Nikolaev (USA/Russia), S.P. Novikov (USA/Russia), A.V. Pogorelov (Ukraine), I.Kh. Sabitov (Russia)

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Symmetric Heegard Diagrams and their Recognition.
by
Ostap Davydov
Chelyabinsk State University

A Heegard diagram is called symmetric if it posseses an orientation preserving involution with two fixed points. It is known that this type diagrams corresponds to 2-fold branched coverings of 3-sphere. We consider properties of symmetric Heegard diagrams. As application we made a computer algorythm for enumerating and recognizing symmetric Heegard diagrams as 2-fold branched coverings of S3.

References:

[1]. J. S. Birman, H. M. Hilden, Heegard splittings of branched coverings of S3, Trans. Amer. Math. Soc., 213 (1975), 315-352

[2]. S. V. Matveev, Generalized graph manifolds and their effective regognition, Math. Sbornik, 189:10 (1998), 1517 - 1531

Date received: February 20, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadw-30.