Harder-Narasimhan filtrations of persistence modules

DOI10.1112/tlm3.70003MaRDI QIDQ6658776

Emile Jacquard, Vidit Nanda, Ulrike Tillmann, Marc Fersztand

Publication date: 8 January 2025

Published in: Transactions of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Harder-Narasimhan filtrationquiver representationpersistence modulesladder persistence modules

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Sheaf cohomology in algebraic topology (55N30) Representations of quivers and partially ordered sets (16G20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Morse theory of the moment map for representations of quivers
• The rank of a quiver representation.
• The theory of multidimensional persistence
• On the cohomology groups of moduli spaces of vector bundles on curves
• Stability for an abelian category
• The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
• Zigzag persistence
• Persistent local systems
• Generalized persistence diagrams for persistence modules over posets
• On rectangle-decomposable 2-parameter persistence modules
• On interval decomposability of \(2\)D persistence modules
• Total stability functions for type \(\mathbb{A}\) quivers
• Persistent homology and microlocal sheaf theory
• The theory of the interleaving distance on multidimensional persistence modules
• Stability conditions on triangulated categories
• A refinement of multi-dimensional persistence
• Quiver representations.
• Geometric Invariant Theory
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• The Yang-Mills equations over Riemann surfaces
• Edit Distance and Persistence Diagrams over Lattices
• Stratifying Multiparameter Persistent Homology
• Persistence modules on commutative ladders of finite type
• Principal components along quiver representations
• The space of barcode bases for persistence modules
• A deterministic Algorithm for Harder-Narasimhan filtrations for representations of acyclic quivers
• Semistability, modular lattices, and iterated logarithms
• Approximation by interval-decomposables and interval resolutions of persistence modules
• Harder-Narasimhan filtrations and zigzag persistence
• Homological approximations in persistence theory
• Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions
• Ladder decomposition for morphisms of persistence modules

This page was built for publication: Harder-Narasimhan filtrations of persistence modules