A simple construction of positive loops of Legendrians

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2018Embargo end date: 01 Jan 2016 English Publisher:International Press of BostonJournal:Arkiv för Matematik, volume 56, pages 377-394 (issn: 0004-2080, eissn: 1871-2487,

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Authors: Pancholi, Dishant; Pérez, José Luis; Presas, Francisco;

doi: 10.4310/arkiv.2018.v56.n2.a11 , 10.48550/arxiv.1610.02383

arXiv: 1610.02383

handle: 10016/40079 , 10261/255690

A simple construction of positive loops of Legendrians

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Abstract

We construct positive loops of Legendrian submanifolds in several instances. In particular, we partially recover G. Liu's result stating that any loose Legendrian admits a positive loop, under some mild topological assumptions on the Legendrian. Moreover, we show contractibility of the constructed loops under an extra topological assumption.

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Related Organizations

Institute of Mathematical Sciences
India
Institute of Mathematical Sciences
Spain
Spanish National Research Council
Spain

Keywords

Matemáticas, Orderability, Geometry, Isotopy, 53D10, 57R17, Overtwisted contact structures, Classification, 53D10, Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), 57R17

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