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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.

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Authors and Affiliations

  1. Tufts University, Medford, MA, 02155, USA

    Genevieve S. Walsh

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  1. Genevieve S. Walsh
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Correspondence to Genevieve S. Walsh.

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

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Walsh, G.S. Incompressible surfaces and spunnormal form. Geom Dedicata 151, 221–231 (2011). https://doi.org/10.1007/s10711-010-9529-0

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