Colloquium

Torsion invariants in symplectic Floer theories

by Yi-Jen Lee,Assistant Professor of Mathematics, Princeton University,Princeton, New Jersey

Abstract

The symplectic Floer homology was originally defined to detect periodic orbits in Hamiltonian dynamical systems. However, it may vanish in many variants. I will describe a more refined invariant of symplectic Floer theory that takes into account not only p-holomorphic disks, but also (perturbed) p-holomorphic tori. Some applications will also be discussed.