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Closed exact Lagrangians in the symplectization of contact manifolds

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arxiv 1304.6620 v1 pith:FBDVPHQ7 submitted 2013-04-24 math.SG

Emmy Murphy This is my paper · ORCID
classification math.SG
keywords lagrangiansclosedcontactexactmanifoldssymplectizationabundancecertain
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For a certain class of exotic contact manifolds of dimension greater than 3, we show that there is an abundance of closed exact Lagrangians in their symplectization. All of these Lagrangians are displaceable by Hamiltonian isotopy, and many of the examples are nulhomotopic.

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  1. On orderability and the chord conjecture

    math.SG 2026-08 conditional novelty 8.0 of 10

    Arnol'd's chord conjecture is proved for weakly non-orderable contact manifolds satisfying a sharp Lagrangian displacement-energy bound, including many prequantization and Brieskorn manifolds.

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