Kavli Affiliate: Todor Milanov
| Summary:
Let $X$ be a smooth projective variety with a semisimple quantum cohomology. It is known that the blowup $operatornameBl_rm pt(X)$ of $X$ at one point also has semisimple quantum cohomology. In particular, the monodromy group of the quantum cohomology of $operatornameBl_rm pt(X)$ is a reflectiongroup. We found explicit formulas for certain generators of the monodromy group of the quantum cohomology of $operatornameBl_rm pt(X)$ depending only on the geometry of the exceptional divisor.
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