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2015 Gromov width and uniruling for orientable Lagrangian surfaces
François Charette
Algebr. Geom. Topol. 15(3): 1439-1451 (2015). 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.

Citation

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François Charette. "Gromov width and uniruling for orientable Lagrangian surfaces." Algebr. Geom. Topol. 15 (3) 1439 - 1451, 2015. https://doi.org/10.2140/agt.2015.15.1439

Information

Received: 6 February 2014; Revised: 26 August 2014; Accepted: 31 August 2014; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1326.53117
MathSciNet: MR3361141
Digital Object Identifier: 10.2140/agt.2015.15.1439

Subjects:
Primary: 53Dxx
Secondary: 53D12

Keywords: Gromov width , holomorphic disks , Lagrangian surfaces , uniruling

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.15 • No. 3 • 2015
MSP
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