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December 2001 An Algorithm for Acylindrical Surfaces in 3-manifolds
Yukihiro TSUTSUMI
Tokyo J. Math. 24(2): 395-405 (December 2001). DOI: 10.3836/tjm/1255958183

Abstract

An algorithm to decide if an orientable atoroidal 3-manifold contains closed incompressible acylindrical surfaces, and construct closed incompressible acylindrical surfaces is given.Mainly, the normal surface theory is used.To assure that the algorithm stops after finite steps, we show that each acylindrical surface is isotopic to some ``edge surface'' which is constructible.

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Yukihiro TSUTSUMI. "An Algorithm for Acylindrical Surfaces in 3-manifolds." Tokyo J. Math. 24 (2) 395 - 405, December 2001. https://doi.org/10.3836/tjm/1255958183

Information

Published: December 2001
First available in Project Euclid: 19 October 2009

zbMATH: 1009.57026
MathSciNet: MR1874979
Digital Object Identifier: 10.3836/tjm/1255958183

Rights: Copyright © 2001 Publication Committee for the Tokyo Journal of Mathematics

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Vol.24 • No. 2 • December 2001
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