Gromov width and uniruling for orientable Lagrangian surfaces

Charette, François¹

¹Department of Mathematics, ETH-Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland

Algebraic and Geometric Topology, Tome 15 (2015) no. 3, pp. 1439-1451

Résumé

We prove a conjecture of Barraud and 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 and Cornea to the nonmonotone situation based on index restrictions for holomorphic disks.

Détail

DOI : 10.2140/agt.2015.15.1439

Classification : 53DXX, 53D12
Keywords: Lagrangian surfaces, uniruling, holomorphic disks, Gromov width

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