## Fiber connectivity and bifurcation diagrams of almost toric integrable systems

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.

Published in:
Journal Of Symplectic Geometry, 13, 2, 343-386
Year:
2015
Publisher:
Somerville, Int Press Boston, Inc
ISSN:
1527-5256
Keywords:
Laboratories: