Algebraic and geometric convergence of discrete representations into PSL(2,C)

Details Algebraic and geometric convergence of discrete representations into PSL(2,C) Algebraic and geometric convergence of discrete representations into PSL(2,C)

2010-10-04

arxiv.org/abs/1010.0459v1

Mathematics

Geometric Topology

45 pages, to appear in Geometry and Topology

Scientific paper

Anderson and Canary have shown that if the algebraic limit of a sequence of
discrete, faithful representations of a finitely generated group into PSL(2,C)
does not contain parabolics, then it is also the sequence's geometric limit. We
construct examples that demonstrate the failure of this theorem for certain
sequences of unfaithful representations, and offer a suitable replacement.

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