Universal orderability of Legendrian isotopy classes
Symplectic Geometry
2017-01-10 v3 General Relativity and Quantum Cosmology
Abstract
It is shown that non-negative Legendrian isotopy defines a partial order on the universal cover of the Legendrian isotopy class of the fibre of the spherical cotangent bundle of any manifold. This result is applied to Lorentz geometry in the spirit of the authors' earlier work on the Legendrian Low conjecture.
Cite
@article{arxiv.1307.5694,
title = {Universal orderability of Legendrian isotopy classes},
author = {Vladimir Chernov and Stefan Nemirovski},
journal= {arXiv preprint arXiv:1307.5694},
year = {2017}
}
Comments
13 pages; V.2 - minor edits, reference added; V.3 - editorial changes, references added