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- Title
SEMI-GLOBAL INVARIANTS OF PIECEWISE SMOOTH LAGRANGIAN FIBRATIONS.
- Authors
CASTAÑO-BERNARD, RICARDO; MATESSI, DIEGO
- 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.
- Subjects
LAGRANGE equations; MATHEMATICAL equipollence; MONODROMY groups; MANIFOLDS (Mathematics); MATHEMATICAL analysis
- Publication
Quarterly Journal of Mathematics, 2010, Vol 61, Issue 3, p291
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/hap003