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Homotopy Equivalences Of 3-Manifolds And Deformation Theory Of Kleinian Groups (Memoirs of the American Mathematical Society)

Richard D. Canary, Darryl McCullough




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 | #12494317 in Books |  Amer Mathematical Society |  2004-10-01 | Original language:English |  9.50 x6.75 x.50l,1.00 | Binding: Mass Market Paperback | 218 pages

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This text investigates a natural question arising in the topological theory of $3$-manifolds, and applies the results to give new information about the deformation theory of hyperbolic $3$-manifolds. It is well known that some compact $3$-manifolds with boundary admit homotopy equivalences that are not homotopic to homeomorphisms. We investigate when the subgroup $\mathcal{R}(M)$ of outer automorphisms of $\pi_1(M)$ which are induced by homeomorphisms of a compact $3$-ma...

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