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math.RT2024
Harder-Narasimhan filtrations of persistence modules: metric stability
Marc Fersztand
The Harder-Narasimhan types are a family of discrete isomorphism invariants for representations of finite quivers. Previously (arXiv:2303.16075), we evaluated their discriminating…
math.RT2023★ 1 cited
Harder-Narasimhan Filtrations of Persistence Modules
Marc Fersztand, Emile Jacquard, Vidit Nanda +1
The Harder-Narasimhan type of a quiver representation is a discrete invariant parameterised by a real-valued function (called a central charge) defined on the vertices of the quive…
math.RT2022
Harder-Narasimhan Filtrations and Zigzag Persistence
Marc Fersztand, Vidit Nanda, Ulrike Tillmann
We introduce a sheaf-theoretic stability condition for finite acyclic quivers. Our main result establishes that for representations of affine type quivers,…