Deformation retraction of the group of strict contactomorphisms of the three-sphere to the unitary group

Autor:	DeTurck, Dennis, Gluck, Herman, Lichtenfelz, Leandro, Merling, Mona, Yang, Jingye, Wang, Yi
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Algebraic Topology Mathematics - Geometric Topology Mathematics - Symplectic Geometry 53A07 53C12 53D10 55R10
Druh dokumentu:	Working Paper
Popis:	We prove that the group of strict contactomorphisms of the standard tight contact structure on the three-sphere deformation retracts to its unitary subgroup U(2). Comment: Expanded both content and references. Separated into two parts. Part 1 is a more detailed proof of our new result of the deformation retraction of the group of strict contactomorphisms on the three-sphere. Part 2 gives a self-contained treatment and proofs of existing results scattered among several papers in the literature on the Fr\'echet bundle structure of the group of strict contactomorphisms
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.08961 Zobrazit plný text záznamu View this record from Arxiv