Publication

Fiber connectivity and bifurcation diagrams of almost toric integrable systems

Tudor Ratiu
2015
Journal Articles

Abstract

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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Fiber connectivity and bifurcation diagrams of almost toric integrable systems

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