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math.GT2012★ 2 cited
A counterexample to the simple loop conjecture for PSL(2,R)
Kathryn Mann
In this note, we give an explicit counterexample to the simple loop conjecture for representations of surface groups into PSL(2,R). Specifically, we show that for any surface with…
math.GT2012★ 5 cited
Homomorphisms between diffeomorphism groups
Kathryn Mann
For r at least 3, p at least 2, we classify all actions of the groups Diff^r_c(R) and Diff^r_+(S1) by C^p -diffeomorphisms on the line and on the circle. This is the same as descri…