Fiber connectivity and bifurcation diagrams of almost toric integrable systems

Pelayo, AlvaroRatiu, Tudor S.Ngoc, San Vu2015-05-292015-05-292015-05-292015https://infoscience.epfl.ch/handle/20.500.14299/114765WOS:000353043400004We 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 systemsLagrangian fibrationssingularitiessymplectic geometryquantum systemsaffine structuresFiber connectivity and bifurcation diagrams of almost toric integrable systemstext::journal::journal article::research article