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Quantum cohomology of flag varieties

Ionuţ Ciocan-Fontanine
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Abstract

We describe a construction of Gromov-Witten invariants for flag varieties and use it to give a presentation for the quantum cohomology ring, by extending the ideas used by Bertram in the case of Grassmannians. This provides a proof for the conjecture of Givental and Kim in [GK].

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Ionuţ Ciocan-Fontanine. 1995-05-03. Quantum cohomology of flag varieties. https://arxiv.org/abs/alg-geom/9505002

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