# Examples of contact mapping classes of infinite order in all dimensions

@article{Gironella2018ExamplesOC, title={Examples of contact mapping classes of infinite order in all dimensions}, author={Fabio Gironella}, journal={arXiv: Symplectic Geometry}, year={2018} }

In this paper we give examples of tight high dimensional contact manifolds admitting a contactomorphism whose powers are all smoothly isotopic but not contact-isotopic to the identity; this is a generalization of an observation in dimension 3 by Gompf, also reused by Ding and Geiges.

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A remark on the contactomorphism group of overtwisted contact spheres

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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… Expand

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