Gromov-Witten invariants and mirror symmetry

Harvard FAS

Gromov-Witten invariants are numbers which can be interpreted as counts of holomorphic curves in symplectic manifolds.This course will be an introduction to Gromov-Witten theory for symplectic manifolds, with a view toward their connections to mirror symmetry and Fukaya categories. We will discuss the construction of genus zero Gromov-Witten invariants, i.e. counts of rational curves, as well as some of their classical applications to low-dimensional symplectic topology and Hamiltonian…