Gromov width and uniruling for orientable Lagrangian surfaces

Charette, François

doi:10.2140/agt.2015.15.1439

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Gromov width and uniruling for orientable Lagrangian surfaces

François Charette

Algebraic & Geometric Topology 15 (2015) 1439–1451

DOI: 10.2140/agt.2015.15.1439

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.

Keywords

Lagrangian surfaces, uniruling, holomorphic disks, Gromov width

Mathematical Subject Classification 2010

Primary: 53DXX

Secondary: 53D12

References

Publication

Received: 6 February 2014

Revised: 26 August 2014

Accepted: 31 August 2014

Published: 19 June 2015

Authors

François Charette
Department of Mathematics ETH-Zürich Rämistrasse 101 CH-8092 Zürich Switzerland

Volume 15, issue 3 (2015)