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arXiv:1104.4492 [math.GT]AbstractReferencesReviewsResources

Non-faithful representations of surface groups into SL(2,C) which kill no simple closed curve

Daryl Cooper, Jason Fox Manning

Published 2011-04-22, updated 2014-04-28Version 3

We give counterexamples to a version of the simple loop conjecture in which the target group is PSL(2,C). These examples answer a question of Minsky in the negative.

Comments: 23 pages, 3 figures. Version 3 incorporates additional referee comments, especially improving the appendix
Categories: math.GT, math.GR
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