We study certain types of piecewise smooth Lagrangian fibrations of smooth symplectic manifolds, which we call stitched Lagrangian fibrations. We extend the classical theory of action-angle co-ordinates to these fibrations by defining certain invariants which give a semi-global classification of germs of stitched fibrations. We then describe stitched fibrations with monodromy in terms of these invariants.
Semi-global invariants of piecewise smooth Lagrangian fibrations / R. Castano Bernard, D. Matessi. - In: QUARTERLY JOURNAL OF MATHEMATICS. - ISSN 0033-5606. - 61:3(2010), pp. 291-318. [10.1093/qmath/hap003]
Semi-global invariants of piecewise smooth Lagrangian fibrations
D. MatessiUltimo
2010
Abstract
We study certain types of piecewise smooth Lagrangian fibrations of smooth symplectic manifolds, which we call stitched Lagrangian fibrations. We extend the classical theory of action-angle co-ordinates to these fibrations by defining certain invariants which give a semi-global classification of germs of stitched fibrations. We then describe stitched fibrations with monodromy in terms of these invariants.File in questo prodotto:
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