Quantum cohomology of flag varieties

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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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