Quantum cohomology of partial flag manifolds

Buch, Anders

doi:10.1090/S0002-9947-04-03655-4

Quantum cohomology of partial flag manifolds
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by Anders Skovsted Buch

Trans. Amer. Math. Soc. 357 (2005), 443-458

DOI: https://doi.org/10.1090/S0002-9947-04-03655-4

Published electronically: September 2, 2004

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Abstract:

We give elementary geometric proofs of the structure theorems for the (small) quantum cohomology of partial flag varieties $\operatorname {SL}(n)/P$, including the quantum Pieri and quantum Giambelli formulas and the presentation.

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