Tropical aspects in geometry, topology and physics. Abstracts from the workshop held April 26 -- May 2, 2015

DOI10.4171/OWR/2015/23zbMATH Open1380.00069arXiv1809.02737OpenAlexW3103597433MaRDI QIDQ1697995

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Publication date: 21 February 2018

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1809.02737

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