Simple loop conjecture for limit groups |
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Authors: | Larsen Louder |
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Affiliation: | 1. Mathematical Institute, Oxford University, 24-29 St Giles’, Oxford, OX1 3LB, UK
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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-loxodromic representations of surface groups to SL(2, ?) that don’t kill any simple closed curves, answering a question of Minsky. There are also examples, for any k, of noninjective all-loxodromic representations of surface groups killing no curves with self-intersection number at most k. |
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