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

被引：0

作者：

Deturck, Dennis ^{[1
]}

Gluck, Herman ^{[1
]}

Lichtenfelz, Leandro ^{[2
]}

Merling, Mona ^{[1
]}

Wang, Yi ^{[1
]}

Yang, Jingye ^{[1
]}

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA USA

[2] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 206卷

关键词：

Infinite-dimensional geometry; Contactomorphism group; Homotopy theory; DIFFEOMORPHISMS;

D O I：

10.1016/j.geomphys.2024.105293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 ) . (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：29

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