Degenerations, transitions and quantum cohomology
Algebraic Geometry
2018-09-12 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1809.02737,
title = {Degenerations, transitions and quantum cohomology},
author = {Sergey Galkin},
journal= {arXiv preprint arXiv:1809.02737},
year = {2018}
}
Comments
4 pages, extended abstract of my talk on 2015.04.28 in Oberwolfach