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Bibliographic Details
Main Authors: Milanov, Todor, Xia, Xiaokun
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2304.04365
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Table of Contents:
  • Let $X$ be a smooth projective variety with a semisimple quantum cohomology. It is known that the blowup $\operatorname{Bl}_{\rm pt}(X)$ of $X$ at one point also has semisimple quantum cohomology. In particular, the monodromy group of the quantum cohomology of $\operatorname{Bl}_{\rm pt}(X)$ is a reflectiongroup. We found explicit formulas for certain generators of the monodromy group of the quantum cohomology of $\operatorname{Bl}_{\rm pt}(X)$ depending only on the geometry of the exceptional divisor.