The Quantum Cohomology Ring of Flag Varieties

Ciocan-Fontanine, Ionuţ

doi:10.1090/S0002-9947-99-02230-8

The Quantum Cohomology Ring of Flag Varieties
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by Ionuţ Ciocan-Fontanine

Trans. Amer. Math. Soc. 351 (1999), 2695-2729

DOI: https://doi.org/10.1090/S0002-9947-99-02230-8

Published electronically: February 5, 1999

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Abstract:

We describe the small quantum cohomology ring of complete flag varieties by algebro-geometric methods, as presented in our previous work Quantum cohomology of flag varieties (Internat. Math. Res. Notices, no. 6 (1995), 263–277). We also give a geometric proof of the quantum Monk formula.

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