Gromov width and uniruling for orientable Lagrangian surfaces
Symplectic Geometry
2016-01-20 v2
Abstract
We prove a conjecture of Barraud-Cornea for orientable Lagrangian surfaces. As a corollary, we obtain that displaceable Lagrangian 2--tori have finite Gromov width. In order to do so, we adapt the pearl complex of Biran-Cornea to the non-monotone situation based on index restrictions for holomorphic discs.
Cite
@article{arxiv.1401.1953,
title = {Gromov width and uniruling for orientable Lagrangian surfaces},
author = {François Charette},
journal= {arXiv preprint arXiv:1401.1953},
year = {2016}
}
Comments
12 pages. Added more details in sections 2.2.1 and 2.2.2. To appear in Algebraic and Geometric Topology