Simple loop conjecture for limit groups

Larsen Louder (U Oxford)

Wednesday 7th December, 2011 16:00-17:00 204

Abstract

There are noninjective maps from surface groups to limit groups that don’t kill any simple closed curves. As a corollary, there are noninjective all-hyperbolic representations of surface groups in SL(2,C) that don’t kill any simple closed curves, answering a question of Minsky. There are also examples, for any k, of noninjective all-hyperbolic representations of surface groups killing no curves with self intersection number at most k.

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