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arXiv · 1408.5864

Quantum Kirwan morphism and Gromov-Witten invariants of quotients II

Chris T. Woodward
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Abstract

This is the second 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. In this part we construct virtual fundamental classes on the moduli spaces used in the construction of the quantum Kirwan map and the gauged Gromov-Witten potential.

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Chris T. Woodward. 2014-08-25. Quantum Kirwan morphism and Gromov-Witten invariants of quotients II. https://arxiv.org/abs/1408.5864

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