Determinants, even instantons and Bridgeland stability

2022/08/15 by Victor do Valle Pretti, Pretti, Victor · 1 citation
Mathematics · #14F08 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2208.07170

openalex publication_date 2022/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a systematic way of calculating a quiver region associated to a given exceptional collection, which as an application is used to prove that μ-stable sheaves represented by 2-step complexes are Bridgeland stable. In the later sections, we focus on the case of even rank 2 instantons over ℙ³ and Q₃ to prove that the instanton sheaves, instanton bundles and perverse instantons are Bridgeland stable and provide a description of the moduli space near their only actual wall.

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• Rank Two Sheaves With Low Discriminant on the Fano Threefold of Index 2 and Degree 5

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