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Quantum cohomology of Grassmannians

Anders Skovsted Buch
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Abstract

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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Anders Skovsted Buch. 2001-07-01. Quantum cohomology of Grassmannians. https://arxiv.org/abs/math/0106268

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