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

Daryl Cooper; Jason Fox Manning

arxiv: 1104.4492 · v3 · pith:IDNISF2Mnew · submitted 2011-04-22 · 🧮 math.GT · math.GR

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

Daryl Cooper , Jason Fox Manning This is my paper

classification 🧮 math.GT math.GR

keywords simpleanswerclosedconjecturecounterexamplescurveexamplesgive

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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.

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

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