2022/11/14 by Marc Fersztand, Fersztand, Marc, Vidit Nanda +3
Computer Science · Mathematics · Physics and Astronomy · #16G20 #55N30 #55N31 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum many-body systems #Representation Theory (math.RT) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2211.07553
openalex publication_date 2022/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a sheaf-theoretic stability condition for finite acyclic quivers. Our main result establishes that for representations of affine type \widetilde\mathbbA quivers, there is a precise relationship between the associated Harder-Narasimhan filtration and the barcode of the periodic zigzag persistence module obtained by unwinding the underlying quiver.