Department Colloquium
Department of Mathematics
Princeton University
November 29th, 2000
Periodic Orbits, Holomorphic Curves and Algebraic Invariants
Gromov-Witten invariants are invariants of symplectic manifolds
obtained by counting pseudoholomorphic curves.
Cutting symplectic manifolds along hypersurfaces should give
relative Gromov-Witten invariants with values in some
algebraic object associated to the hypersurface. Symplectically
a hypersurface is a Hamiltonian energy surface and its invariants
have to be related to the underlying dynamics.
The talk describes some aspects of the current
research activities.