1527-5256
Fiber connectivity and bifurcation diagrams of almost toric integrable systems
Pelayo
Alvaro
Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
Ratiu
Tudor S.
Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland
Ngoc
San Vu
Univ Rennes 1, Inst Univ France, F-35042 Rennes, France
2015
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.
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