Gromov width and uniruling for orientable Lagrangian surfaces

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.

PDF Access Denied

Warning: We have not been able to recognize your IP address 47.88.87.18 as that of a subscriber to this journal. Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.

Or, visit our subscription page for instructions on purchasing a subscription. You may also contact us at contact@msp.org or by using our contact form.

Or, you may purchase this single article for USD 29.95:

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)

François Charette

Abstract