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Incompressible surfaces and spunnormal form

Genevieve S. Walsh
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Abstract

Suppose M is a cusped finite-volume hyperbolic 3-manifold and 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 T . The proof is based directly on ideas of W. Thurston.

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Genevieve S. Walsh. 2011-01-17. Incompressible surfaces and spunnormal form. https://arxiv.org/abs/math/0503027

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