On positive loops of loose Legendrian embeddings

arXiv1605.07494MaRDI QIDQ6273863

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Publication date: 24 May 2016

Abstract: In this paper, via h-principle we prove that there exist contractible positive loops of Legendrian embeddings based at any loose Legendrian submanifold. As an application, we define a new partial order on $widetilde{Cont}_0(M,xi)$ and prove that overtwisted contact manifolds are weakly non-orderable.

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