Surface groups of diffeomorphisms of the interval

Published 31 Jan 2017 in math.GT, math.DS, math.GR, and math.MG | (1701.09019v3)

Abstract: We prove that the group of diffeomorphisms of the interval $[0,1]$ contains surface groups whose action on $(0,1)$ has no global fix point, is topologically transitive, and such that only countably many points of the interval $(0,1)$ have non-trivial stabiliser.

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