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Equivariant mirrors and the Virasoro conjecture for flag manifolds

2002/10/24 by Dosang Joe, Joe, Dosang, Bumsig Kim +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.SG

paper · pdf · doi:10.48550/arxiv.math/0210377

To appear in IMRN

arxiv created 2002/10/24 · openalex publication_date 2002/10/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We found an explicit description of all GL(n,\RR)-Whittaker functions as oscillatory integrals and thus constructed equivariant mirrors of flag manifolds. As a consequence we proved the Virasoro conjecture for flag manifolds.

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