Windows, cores and skinning maps

Jeffrey F. Brock; Kenneth W. Bromberg; Richard D. Canary; Yair N. Minsky

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arXiv · 1601.05482

Windows, cores and skinning maps

Jeffrey F. Brock·Kenneth W. Bromberg·Richard D. Canary·Yair N. Minsky

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Abstract

We give a generalization of Thurston's Bounded Image Theorem for skinning maps, which applies to pared 3-manifolds with incompressible boundary that are not necessarily acylindrical. Along the way we study properties of divergent sequences in the deformation space of such a manifold, establishing the existence of compact cores satisfying a certain notion of uniform geometry.

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Jeffrey F. Brock, Kenneth W. Bromberg, Richard D. Canary, Yair N. Minsky. 2016-01-21. Windows, cores and skinning maps. https://arxiv.org/abs/1601.05482

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