Degenerations, transitions and quantum cohomology
arXiv:1809.02737 · doi:10.4171/OWR/2015/23
Abstract
Given a singular variety I discuss the relations between quantum cohomology of its resolution and smoothing. In particular, I explain how toric degenerations helps with computing Gromov--Witten invariants, and the role of this story in Fanosearch programme. The challenge is to formulate enumerative symplectic geometry of complex -folds in a way suitable for extracting invariants under blowups, contractions, and transitions.
4 pages, extended abstract of my talk on 2015.04.28 in Oberwolfach