On Legendrian embbeddings into open book decompositions

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2019-01-01

Author

Akbulut, Selman
Arikan, M. Firat

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We study Legendrian embeddings of a compact Legendrian submanifold L sitting in a closed contact manifold (M, xi) whose contact structure is supported by a (contact) open book OB on M. We prove that if OB has Weinstein pages, then there exist a contact structure xi' on M, isotopic to xi and supported by OB, and a contactomorphism f:(M, xi) -> (M, xi') such that the image f(L) of any such submanifold can be Legendrian isotoped so that it becomes disjoint from the closure of a page of OB.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/65405

Journal

ARKIV FOR MATEMATIK

DOI

https://doi.org/10.4310/arkiv.2019.v57.n2.a1

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Department of Mathematics, Article

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Citation Formats

S. Akbulut and M. F. Arikan, “On Legendrian embbeddings into open book decompositions,” ARKIV FOR MATEMATIK, pp. 227–245, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65405.