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Guts of surfaces in punctured-torus bundles

2003/09/14 by Thilo Kuessner, Kuessner, Thilo
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.GT #msc:57N10

paper · pdf · doi:10.48550/arxiv.math/0309226

10 pages, submitted to AdM

arxiv created 2005/06/26 · arxiv updated 2009/12/01

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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