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.
On prouve l’existence d’éléments d’ordre infini dans certains groupes d’homotopie du groupe des contactomorphismes des sphères vrillées. En particulier, il s’en suit que le groupe des contactomorphismes de certaines sphères vrillées n’est pas homotopiquement équivalent à un groupe de Lie de dimension finie.
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Eduardo Fernández 1; Fabio Gironella 2
@article{CRMATH_2020__358_2_189_0, author = {Eduardo Fern\'andez and Fabio Gironella}, title = {A remark on the contactomorphism group of overtwisted contact spheres}, journal = {Comptes Rendus. Math\'ematique}, pages = {189--196}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {2}, year = {2020}, doi = {10.5802/crmath.32}, language = {en}, }
TY - JOUR AU - Eduardo Fernández AU - Fabio Gironella TI - A remark on the contactomorphism group of overtwisted contact spheres JO - Comptes Rendus. Mathématique PY - 2020 SP - 189 EP - 196 VL - 358 IS - 2 PB - Académie des sciences, Paris DO - 10.5802/crmath.32 LA - en ID - CRMATH_2020__358_2_189_0 ER -
Eduardo Fernández; Fabio Gironella. A remark on the contactomorphism group of overtwisted contact spheres. Comptes Rendus. Mathématique, Volume 358 (2020) no. 2, pp. 189-196. doi : 10.5802/crmath.32. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.32/
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