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On the semi-simplicity of the quantum cohomology algebras of complete intersections

1996/11/26 by Gang Tian, Tian, Gang, Geng Xu +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9611035

openalex publication_date 1996/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we study the semi-simplicity of the quantum cohomology algebra H(V, C) of a Fano complete intersection V, and show that the subspace of H(V, C) generated by the hyperplane sections is semi-simple in the sense of Dubrovin when the degree of V satisfies certain conditions.

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