Topological Classification of Lagrangian Fibrations

Details Topological Classification of Lagrangian Fibrations Topological Classification of Lagrangian Fibrations

2009-10-28

arxiv.org/abs/0910.5450v1

Mathematics

Symplectic Geometry

16 pages. to appear in Jour. Geo. Phy

Scientific paper

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.

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