| Résume | At the intersection of geometry, algebra, and combinatorics lies a fruitful two-way interaction between Gromov-Witten theory and GKM theory established by equivariant localization. In one direction, GKM theory provides a setting where Gromov-Witten invariants become explicitly computable, which we have implemented in the software package GKMtools (joint work with Giosuè Muratore). In the other direction, the axiomatic behavior of Gromov-Witten invariants is strong enough to imply structural properties of GKM spaces. I will present recent results in both directions. |
