#### Volume 15, issue 3 (2015)

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Gromov width and uniruling for orientable Lagrangian surfaces

### François Charette

Algebraic & Geometric Topology 15 (2015) 1439–1451
##### Abstract

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.

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##### Keywords
Lagrangian surfaces, uniruling, holomorphic disks, Gromov width
Primary: 53DXX
Secondary: 53D12