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Examples of relative deformation spaces that are not locally connected

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Abstract

We provide an infinite family of pared manifolds with the property that the relative deformation spaces of hyperbolic structures on these manifolds are not locally connected. This is a natural extension of the recent result of Bromberg that shows the space of Kleinian punctured torus groups is not locally connected.

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  1. Department of Mathematics, University of Michigan, 2074 East Hall, 530 Church St., Ann Arbor, MI, 48109, USA

    Aaron D. Magid

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  1. Aaron D. Magid
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Correspondence to Aaron D. Magid.

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The author was partially supported by the NSF RTG grant #0602191.

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Magid, A.D. Examples of relative deformation spaces that are not locally connected. Math. Ann. 344, 877–889 (2009). https://doi.org/10.1007/s00208-008-0332-2

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  • DOI: https://doi.org/10.1007/s00208-008-0332-2

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