Cluster algebras and singular supports of perverse sheaves

2013/01/22 by Hiraku Nakajima, Nakajima, Hiraku
Mathematics · #13F60 #17B37 #35A27 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1301.5079

openalex publication_date 2013/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose an approach to Geiss-Leclerc-Schroer's conjecture on the cluster algebra structure on the coordinate ring of a unipotent subgroup and the dual canonical base. It is based on singular supports of perverse sheaves on the space of representations of a quiver, which give the canonical base.

Citations

• Affine Mirković-Vilonen polytopes

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