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Local topology in deformation spaces of hyperbolic 3-manifolds

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 نشر من قبل Yair Minsky
 تاريخ النشر 2009
  مجال البحث
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We prove that the deformation space AH(M) of marked hyperbolic 3-manifolds homotopy equivalent to a fixed compact 3-manifold M with incompressible boundary is locally connected at minimally parabolic points. Moreover, spaces of Kleinian surface groups are locally connected at quasiconformally rigid points. Similar results are obtained for deformation spaces of acylindrical 3-manifolds and Bers slices.



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