Quantum cohomology of Grassmannians

Mathematics – Algebraic Geometry

Scientific paper

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8 pages

Scientific paper

We give elementary proofs of the main theorems about (small) quantum
cohomology of Grassmannians, including the quantum Giambelli and quantum Pieri
formulas, the rim-hook algorithm, Siebert and Tian's presentation, and a recent
theorem of Fulton and Woodward about the minimal q-power which appears in a
product of two Schubert classes.

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