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arXiv · 2302.02749

Exact Lagrangians in four-dimensional symplectisations

Georgios Dimitroglou Rizell
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Abstract

In this note we provide explicit constructions of exact Lagrangian embeddings of tori and Klein bottles inside the symplectisation of an overtwisted contact three-manifold. Note that any closed exact Lagrangian in the symplectisation is displaceable by a Hamiltonian isotopy. We also use positive loops to exhibit elementary examples of topologically linked Legendrians that are dynamically non-interlinked in the sense of Entov-Polterovich.

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Georgios Dimitroglou Rizell. 2023-02-06. Exact Lagrangians in four-dimensional symplectisations. https://doi.org/10.1112/blms.13009

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