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arXiv · 1408.5869

Quantum Kirwan morphism and Gromov-Witten invariants of quotients III

Chris T. Woodward
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Abstract

This is the third in a sequence of papers in which we construct a quantum version of the Kirwan map from the equivariant quantum cohomology of a smooth polarized complex projective variety with the action of a connected complex reductive group to the orbifold quantum cohomology of its geometric invariant theory quotient, and prove that it intertwines the genus zero gauged Gromov-Witten potential with the genus zero Gromov-Witten graph potential. We also give a formula for a solution to the quantum differential equation in terms of a localized gauged potential. These results overlap with those of Givental, Lian-Liu-Yau, Coates-Corti-Iritani-Tseng and Ciocan-Fontanine-Kim.

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Chris T. Woodward. 2014-08-25. Quantum Kirwan morphism and Gromov-Witten invariants of quotients III. https://arxiv.org/abs/1408.5869

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