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Algorithms for finding proper essential surfaces in 3-manifolds.
- Source :
- Mathematical Notes; Oct2007, Vol. 82 Issue 3/4, p531-534, 4p
- Publication Year :
- 2007
-
Abstract
- In this paper, we present an algorithm which, for a given compact orientable irreducible boundary irreducible 3-manifold M, verifies whether M contains an essential orientable surface (possibly, with boundary), whose genus is at most N. The algorithm is based on Haken’s theory of normal surfaces, and on a trick suggested by Jaco and consisting in estimating the mean length of boundary curves in an unknown essential surface of a given genus in the given manifold. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 82
- Issue :
- 3/4
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 32853738
- Full Text :
- https://doi.org/10.1134/S0001434607090295