Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds

The main result is a short effective proof of Tao Li's theorem that a closed non-Haken hyperbolic 3-manifolds. N has at most finitely many irreducible Heegaard splittings. Along the way we show that N has finitely many branched surfaces of pinched negative sectional curvature carrying all close...

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Bibliographic Details
Main Authors: Colding, Tobias, Gabai, David
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Duke University Press 2020
Online Access:https://hdl.handle.net/1721.1/123540