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Functorial relationships between quantum cohomology of complete and partial flag varieties, (II)

2013/11/07 by Changzheng Li, Li, Changzheng
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1311.1660

openalex publication_date 2013/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show a canonical injective morphism from the quantum cohomology ring QH(G/P) to the associated graded algebra of QH(G/B), which is with respect to a nice filtration on QH(G/B) introduced by Leung and the author. This tells us the vanishing of a lot of genus zero, three-pointed Gromov-Witten invariants of flag varieties G/P.

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