arXiv subjects

D. Sepe

Publications and source records attributed to D. Sepe.

2 recordsLinked to original sources

arXiv2010

Classification of Lagrangian Fibrations over a Klein Bottle

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.

math.SG↗

arXiv2009

Topological Classification of Lagrangian Fibrations

We define topological invariants of regular Lagrangian fibrations using the integral affine structure on the base space and we show that these coincide with the classes known in the literature. We also classify all symplectic types of Lagrangian fibrations with base $\rpr$ and fixed monodromy representation, generalising a construction due to Bates.

math.SG↗