Geometriae Dedicata

, Volume 151, Issue 1, pp 221–231

Incompressible surfaces and spunnormal form

Original Paper

DOI: 10.1007/s10711-010-9529-0

Cite this article as:
Walsh, G.S. Geom Dedicata (2011) 151: 221. doi:10.1007/s10711-010-9529-0


Suppose M is a cusped finite-volume hyperbolic 3-manifold and \({\mathcal{T}}\) is an ideal triangulation of M with essential edges. We show that any incompressible surface S in M that is not a virtual fiber can be isotoped into spunnormal form in \({\mathcal{T}}\). The proof is based directly on ideas of W. Thurston.


Hyperbolic 3-manifold Ideal triangulation Spunnormal surface 

Mathematics Subject Classification (2000)

57M99 57Q37 

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Tufts UniversityMedfordUSA

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