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arXiv · 1204.1765

Quantum Kirwan morphism and Gromov-Witten invariants of quotients I

Chris T. Woodward
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Abstract

This is the first in a sequence of papers in which we construct a quantum version of the Kirwan map from the equivariant quantum cohomology $QH_G(X)$ of a smooth complex projective variety X with the action of a connected complex reductive group $G$ to the orbifold quantum cohomology $QH(X//G)$ of its geometric invariant theory quotient $X//G$, and prove that it intertwines the genus zero gauged Gromov-Witten potential of X with the genus zero Gromov-Witten graph potential of $X//G$.

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Chris T. Woodward. 2012-04-08. Quantum Kirwan morphism and Gromov-Witten invariants of quotients I. https://arxiv.org/abs/1204.1765

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