Kavli Affiliate: Todor Milanov
| First 5 Authors: Todor Milanov, Xiaokun Xia, , ,
| Summary:
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.
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