Uncovering fractional monodromy


Our paper with Henk Broer on using covering spaces for proving, and better understanding, fractional monodromy has now been accepted for publication in Communications in Mathematical Physics. Fractional monodromy is a geometric property of integrable Hamiltonian fibrations which generalizes standard Hamiltonian monodromy. In this paper we show that by passing to an appropriate covering space the geometry of the fibration is considerably simplified allowing us to prove fractional monodromy for a very wide class of resonant Hamiltonian systems. For more details you can check the paper.