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Guts of surfaces in punctured-torus bundles

Thilo Kuessner
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Abstract

Let M be a hyperbolic manifold of finite volume which fibers over the circle with fiber a once punctured torus, and let S be an arbitrary incompressible surface in M. We determine the characteristic JSJ-subpair of M-S and show, in particular, that the guts of (M,S) is empty.

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Thilo Kuessner. 2005-06-26. Guts of surfaces in punctured-torus bundles. https://arxiv.org/abs/math/0309226

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