Classical aspects of quantum cohomology of generalized flag varieties

2011/07/24 by Leung, Naichung Conan, Li, Changzheng · 1 citation
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1107.4744

Abstract

We show that various genus zero Gromov-Witten invariants for flag varieties representing different homology classes are indeed the same. In particular, many of them are classical intersection numbers of Schubert cycles.

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• Quantum cohomology of flag varieties
• Functorial relationships between quantum cohomology of complete and partial flag varieties, (II)
• Lecture notes on quantum cohomology of the flag manifold
• Gromov-Witten invariants of flag manifolds, via D-modules
• Gromov-Witten invariants on Grassmannians