Classification of Lagrangian Fibrations over a Klein Bottle

Details Classification of Lagrangian Fibrations over a Klein Bottle Classification of Lagrangian Fibrations over a Klein Bottle

2009-09-16

arxiv.org/abs/0909.2982v2

Mathematics

Symplectic Geometry

16 pages, to appear in Geometriae Dedicata

Scientific paper

This paper completes the classification of regular Lagrangian fibratiopns
over compact surfaces. \cite{misha} classifies regular Lagrangian fibrations
over $\mathbb{T}^2$. The main theorem in \cite{hirsch} is used in order to
classify integral affine structures on the Klein bottle $K^2$ and, hence,
regular Lagrangian fibrations over this space.

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