Hamiltonian Monodromy via PicardLefschetz Theory
Abstract
In this paper, we investigate the ``Hamiltonian'' monodromy of the fibration in Liouville tori of certain integrable systems via (real) algebraic geometry. Using PicardLefschetz theory in a relative Prym variety, we determine the Hamiltonian monodromy of the ``geodesic flow on SO(4)''. Using a relative generalized Jacobian, we prove that the Hamiltonian monodromy of the spherical pendulum can also be obtained by the PicardLefschetz formula.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2002
 DOI:
 10.1007/s0022000206943
 Bibcode:
 2002CMaPh.229..459A