, Volume 151, Issue 1, pp 221-231
Date: 29 Aug 2010

Incompressible surfaces and spunnormal form

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Abstract

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.

Supported in part by N. S. F. grant 0805908.