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arxiv: 1401.1953 · v2 · pith:NZRHBM22new · submitted 2014-01-09 · 🧮 math.SG

Gromov width and uniruling for orientable Lagrangian surfaces

classification 🧮 math.SG
keywords lagrangiangromovorientablesurfaceswidthadaptbarraud-corneabiran-cornea
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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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