A simple construction of positive loops of Legendrians

2016/10/07 by Dishant Pancholi, José Luis Pérez, Pancholi, Dishant +3 · 1 citation
Mathematics · #53D10 #57R17 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D10 #msc:57R17

paper · pdf · doi:10.48550/arxiv.1610.02383

2 figures

arxiv created 2016/10/07 · arxiv updated 2016/10/10

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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