A remark on the contactomorphism group of overtwisted contact spheres
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.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/7651 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/7651 |
| Access Level: | acceso abierto |
| Palabra clave: | 514.7 Differential geometry Geometric group theory Geometría diferencial Matemáticas (Matemáticas) 12 Matemáticas 1204.04 Geometría Diferencial |
| Sumario: | 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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