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arXiv · 2108.08961

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

Dennis DeTurck·Herman Gluck·Leandro Lichtenfelz·Mona Merling·Jingye Yang·Yi Wang
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Abstract

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).

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Dennis DeTurck, Herman Gluck, Leandro Lichtenfelz, Mona Merling, Jingye Yang, Yi Wang. 2021-08-20. Deformation retraction of the group of strict contactomorphisms of the three-sphere to the unitary group. https://arxiv.org/abs/2108.08961

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