Classification of Lagrangian Fibrations over a Klein Bottle

2009/09/16 by Sepe, D.
#37J35 #53A15 #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0909.2982

Abstract

This paper completes the classification of regular Lagrangian fibratiopns over compact surfaces. \citemisha classifies regular Lagrangian fibrations over \mathbbT². The main theorem in \citehirsch is used in order to classify integral affine structures on the Klein bottle K² and, hence, regular Lagrangian fibrations over this space.

Related

• Classification of Lagrangian fibrations
• Lagrangian fibrations
• Isotrivial Lagrangian fibrations of compact hyper-Kähler manifolds
• Lagrangian fibration structure on the cotangent bundle of a del Pezzo surface of degree 4
• The monodromy of compact Lagrangian fibrations