English

Classification of Lagrangian Fibrations over a Klein Bottle

Symplectic Geometry 2010-01-05 v2 Dynamical Systems

Abstract

This paper completes the classification of regular Lagrangian fibratiopns over compact surfaces. \cite{misha} classifies regular Lagrangian fibrations over T2\mathbb{T}^2. The main theorem in \cite{hirsch} is used in order to classify integral affine structures on the Klein bottle K2K^2 and, hence, regular Lagrangian fibrations over this space.

Keywords

Cite

@article{arxiv.0909.2982,
  title  = {Classification of Lagrangian Fibrations over a Klein Bottle},
  author = {D. Sepe},
  journal= {arXiv preprint arXiv:0909.2982},
  year   = {2010}
}

Comments

16 pages, to appear in Geometriae Dedicata