The classification of Lagrangian bundles over surfaces (Q1356792)

The author gives two classifications of Lagrangian bundles up to fiberwise symplectomorphism. The first classification is for Lagrangian bundles with fiber \({\mathbb R}^n\) and the second classification is for Lagrangian bundles with compact fiber, that is the 2-torus \({\mathbb T}^2\), over orientable closed surfaces. For this last classification, the author establishes a classification of complete closed lattices on the 2-torus. Some conjectures and open questions are discussed.