Unfolding of equivariant F-bundles and application to the mirror symmetry of flag varieties

2025/05/15 by Thorgal Hinault, Hinault, Thorgal, Changzheng Li +7
Mathematics · Physics and Astronomy · #14N35 #34M56 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Primary 14D15 #Secondary 14M15 #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2505.09950

openalex publication_date 2025/05/15 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

We establish an unfolding theorem for equivariant F-bundles (a variant of Frobenius manifolds), generalizing Hertling-Manin's universal unfolding of meromorphic connections. As an application, we obtain the mirror symmetry theorem for the big quantum cohomology of flag varieties, from the recent works on the small quantum cohomology mirror symmetry, via the equivariant unfolding theorem.

Citations

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Related

• Mirror Principle For Flag Manifolds
• Equivariant Gromov - Witten Invariants
• The D_\hslash-module mirror conjecture for flag varieties
• Three constructions of Frobenius manifolds: a comparative study
• Mirror Principle I