Gromov width and uniruling for orientable Lagrangian surfaces
arXiv:1401.1953 · doi:10.2140/agt.2015.15.1439
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.
12 pages. Added more details in sections 2.2.1 and 2.2.2. To appear in Algebraic and Geometric Topology