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arXiv · 1308.4298

Quantum Pieri rules for tautological subbundles

Naichung Conan Leung·Changzheng Li
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Abstract

We give quantum Pieri rules for quantum cohomology of Grassmannians of classical types, expressing the quantum product of Chern classes of the tautological subbundles with general cohomology classes. We derive them by showing the relevant genus zero, three-pointed Gromov-Witten invariants coincide with certain classical intersection numbers.

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Naichung Conan Leung, Changzheng Li. 2013-08-20. Quantum Pieri rules for tautological subbundles. https://arxiv.org/abs/1308.4298

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