This talk starts with motivating the definition of hypersemitoric systems which are two degree of freedom integrable Hamiltonian systems on 4-dimensional symplectic manifolds with possibly mild degeneracies where one of the integrals gives rise to an effective Hamiltonian S^1-action. Then we give a brief overview of their main features and some examples before we sketch a topological classification of their fibers using 'labeled graphs'. This talk starts with motivating the definition of hypersemitoric systems which are two degree of freedom integrable Hamiltonian systems on 4-dimensional symplectic manifolds with possibly mild degeneracies where one of the integrals gives rise to an effective Hamiltonian S^1-action. Then we give a brief overview of their main features and some examples before we sketch a topological classification of their fibers using 'labeled graphs'.
Department of Mathematics
College of Liberal Arts & Sciences
273 Altgeld Hall
1409 W. Green Street (MC-382)
Urbana, IL 61801
Telephone: 217-333-3350
Email: math@illinois.edu