Dynamical Systems Seminar

Some Dynamical and Topological Invariants for symplectic diffeomorphisms

  • 演讲者:夏志宏(美国西北大学)

  • 时间:2023-10-18 15:00-16:00

  • 地点:理学院大楼M1001


Consider a symplectic diffeomorphism on a compact symplectic manifold. There are two notable invariants, the area and volume flux and mean rotation yector. We show that the volume flux (which is defined as a cohomology element) is exactly the Poincare dual of the rotation vector (a homology element). We also establish the relationships between the area flux and the volume flux, and show that a symplectic diffeomorphism is Hamiltonian if and only if the rotation yector is zero.