A simple construction of positive loops of Legendrians
Symplectic Geometry
2016-10-10 v1
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.
Keywords
Cite
@article{arxiv.1610.02383,
title = {A simple construction of positive loops of Legendrians},
author = {Dishant Pancholi and José Luis Pérez and Francisco Presas},
journal= {arXiv preprint arXiv:1610.02383},
year = {2016}
}
Comments
2 figures