Joint Los Angeles Topology Seminar

The (small) quantum connection is one of the simplest objects built out of Gromov-Witten theory, yet it gives rise to a repertoire of rich and important questions such as the Gamma conjectures and the Dubrovin conjectures. There is a very basic question one can ask about this connection: what is its formal singularity type? People's (e.g. Kontsevich-Katzarkov-Pantev, Iritani) expectation for this is packaged into the so-called exponential type conjecture, and the goal of this talk is to discuss a proof in the case of closed monotone symplectic manifolds.