A remark on the contactomorphism group of overtwisted contact spheres

2019/10/03 by Eduardo Fernández, Fernández, Eduardo, Fabio Gironella +1
Mathematics · #53D10 #53D15 #57R17 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D10 #msc:53D15 #msc:57R17

paper · pdf · doi:10.48550/arxiv.1910.01359

10 pages. Comments are welcome!

arxiv created 2019/10/03 · arxiv updated 2019/10/04

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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