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Thick-skinned 3-manifolds

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Abstract

We show that if the totally geodesic boundary of a compact hyperbolic 3-manifold M has a collar of depth \({d \gg 0}\) , then the diameter of the skinning map of M is no more than Ae −d for some A depending only on the genus and injectivity radius of \({\partial M}\) .

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, Madison, WI, 53706, USA

    Autumn E. Kent

  2. Department of Mathematics, Yale University, New Haven, CT, 06520, USA

    Yair N. Minsky

Authors
  1. Autumn E. Kent
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  2. Yair N. Minsky
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Correspondence to Autumn E. Kent.

Additional information

This research was partially supported by NSF Grants DMS-1104871 and DMS-1005973. The authors acknowledge support from U.S. National Science Foundation Grants DMS-1107452, 1107263, 1107367 “RNMS: GEometric structures And Representation varieties” (the GEAR Network).

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Kent, A.E., Minsky, Y.N. Thick-skinned 3-manifolds. Geom. Funct. Anal. 24, 1981–2001 (2014). https://doi.org/10.1007/s00039-014-0308-1

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