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arXiv · 1401.1953

Gromov width and uniruling for orientable Lagrangian surfaces

François Charette
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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.

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François Charette. 2014-09-08. Gromov width and uniruling for orientable Lagrangian surfaces. https://doi.org/10.2140/agt.2015.15.1439

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