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Angled decompositions of arborescent link complements

Futer, D
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Guéritaud, F
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Journal Article
Date
2009-03-01
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math.GT
 math.GT
 57M25, 57M50
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http://hdl.handle.net/20.500.12613/6085
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0610775v3.pdf
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10.1112/plms/pdn033
Abstract
This paper describes a way to subdivide a 3-manifold into angled blocks, namely polyhedral pieces that need not be simply connected. When the individual blocks carry dihedral angles that fit together in a consistent fashion, we prove that a manifold constructed from these blocks must be hyperbolic. The main application is a new proof of a classical, unpublished theorem of Bonahon and Siebenmann: that all arborescent links, except for three simple families of exceptions, have hyperbolic complements. © 2008 London Mathematical Society.
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Proceedings of the London Mathematical Society
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