A remark on the contactomorphism group of overtwisted contact spheres

Published 3 Oct 2019 in math.SG | (1910.01359v1)

Abstract: We show the existence of elements of infinite order in some homotopy groups of the contactomorphism group of overtwisted spheres. It follows in particular that the contactomorphism group of some high dimensional overtwisted spheres is not homotopically equivalent to a finite dimensional Lie group.

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