Pelayo, Alvaro
Ratiu, Tudor S.
Ngoc, San Vu
Fiber connectivity and bifurcation diagrams of almost toric integrable systems
Journal Of Symplectic Geometry
1527-5256
13
2
343-386
44
We describe the bifurcation diagrams of almost toric integrable Hamiltonian systems on a four dimensional symplectic manifold M, not necessarily compact. We prove that, under a weak assumption, the connectivity of the fibers of the induced singular Lagrangian fibration M --> R-2 can be detected from the bifurcation diagram alone. In this case, it is possible to give a detailed description of the image of the fibration.
Integrable systems;
Lagrangian fibrations;
singularities;
symplectic geometry;
quantum systems;
affine structures;
Int Press Boston, Inc
Somerville
2015