An algorithm for finding planar surfaces in three-manifolds |
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Authors: | E A Sbrodova |
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Institution: | (1) Chelyabinsk State University, Chelyabinsk |
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Abstract: | By a slope in the boundary ∂M of a 3-manifold, we mean the isotopy class α of a finite set of disjoint simple closed curves in ∂M that are nontrivial and pairwise nonparallel. In this paper, we construct an algorithm to decide whether or not a given orientable
3-manifold M contains an essential planar surface whose boundary has a given slope α.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 4, pp. 197–202, 2005. |
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