Original Paper

Geometriae Dedicata

, Volume 151, Issue 1, pp 221-231

First online:

Incompressible surfaces and spunnormal form

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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