Algebraic and geometric convergence of discrete representations into PSL2C

作者:Biringer Ian*; Souto Juan
来源:Geometry and Topology, 2010, 14(4): 2431-2477.
DOI:10.2140/gt.2010.14.2431

摘要

Anderson and Canary have shown that if the algebraic limit of a sequence of discrete, faithful representations of a finitely generated group into PSL2C 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.

  • 出版日期2010