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Degenerations, transitions and quantum cohomology

Published 8 Sep 2018 in math.AG and math.SG | (1809.02737v2)

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 $3$-folds in a way suitable for extracting invariants under blowups, contractions, and transitions.

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Authors (1)

  1. Sergey Galkin 

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