Ahlfors Bers Colloquium

May 19-22, 2005
University of Michigan
Ann Arbor, Michigan

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University of Michigan

Mathematics Department

Organizers
Dick Canary
Juha Heinonen

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Workshop Abstract Detail

Kentaro Ito Graduate School of Mathematics, Nagoya University

3-dimensional extension of Maskit slice for once-punctured tori This talk will describe joint work with Y. Araki and Y. Komori. Let G be a 2-generator free Kleinian group whose conformal boundary consists of a once-punctured torus and a thrice-punctured sphere. Then recall that Maskit slice is the space of deformation of G in the group Conf(S^2) of conformal automorphisms of S^2. In this talk, we will consider the space of deformation of G in the group Conf(S^3), instead of in Conf(S^2). This space is realized as a subset of R^3, which contains original Maskit slice as a section. We will describe some property of the boundary of this space. Especially, bending deformation of some boundary group will be explained.

Topic: Deformation theory of hyperbolic 3-manifolds