Reflection vectors and quantum cohomology of blowups

Kavli Affiliate: Todor Milanov

| First 5 Authors: Todor Milanov, Xiaokun Xia, , ,

| Summary:

Let $X$ be a smooth projective variety with a semi-simple quantum cohomology.
It is known that the blow up $Bl(X)$ of $X$ at one point also has semi-simple
quantum cohomology. In particular, the monodromy group of the quantum
cohomology of $Bl(X)$ is a reflection group. We found explicit formulas for
certain generators of the monodromy group of the quantum cohomology of $Bl(X)$
depending only on the geometry of the exceptional divisor.

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