Cover Image

Harder-Narasimhan Filtrations of Persistence Modules

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fersztand, Marc, Jacquard, Emile, Nanda, Vidit, Tillmann, Ulrike
Format:	Preprint
Published:	2023
Subjects:	Representation Theory Algebraic Geometry Algebraic Topology 16G20, 55N30, 55N31
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Harder-Narasimhan filtrations of persistence modules: metric stability
by: Fersztand, Marc
Published: (2024)

Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules
by: Hanson, Eric J., et al.
Published: (2020)

Stability of Bipath Persistence Diagrams
by: Tada, Shunsuke
Published: (2025)

Barcoding Invariants and Their Equivalent Discriminating Power
by: Escolar, Emerson G., et al.
Published: (2024)

Bipath Persistence
by: Aoki, Toshitaka, et al.
Published: (2024)

An isometry theorem for persistent homology of circle-valued functions
by: Broomhead, Nathan, et al.
Published: (2025)

Bipath Persistence as Zigzag Persistence
by: Alonso, Ángel Javier, et al.
Published: (2024)

The Jordan type of a multiparameter persistence module
by: Chindris, Calin, et al.
Published: (2025)

Geometric construction of Kashiwara crystals on multiparameter persistence
by: Hiraoka, Yasuaki, et al.
Published: (2025)

Equivariant cohomology of juggling varieties in rank one
by: Paul, Bidhan
Published: (2025)

Grothendieck Topologies and Sheaf Theory for Data and Graphs: An Approach Through Cech Closure Spaces
by: Rieser, Antonio
Published: (2021)

Lifespan Functors and Natural Dualities in Persistent Homology
by: Bauer, Ulrich, et al.
Published: (2020)

Ephemeral Modules and Scott Sheaves on a Continuous Poset
by: Harsu, Manu, et al.
Published: (2024)

Additive Partial Matchings Induced by Persistence Maps
by: Gonzalez-Diaz, R., et al.
Published: (2020)

The Walk-Length Filtration for Persistent Homology on Weighted Directed Graphs
by: Muñoz, David E., et al.
Published: (2025)

Persistence module and Schubert calculus
by: Hiraoka, Yasuaki, et al.
Published: (2024)

Stabilizing decomposition of multiparameter persistence modules
by: Bjerkevik, Håvard Bakke
Published: (2023)

Interval Replacements of Persistence Modules
by: Asashiba, Hideto, et al.
Published: (2024)

Interval Multiplicities of Persistence Modules
by: Asashiba, Hideto, et al.
Published: (2024)

Discrete Microlocal Morse Theory
by: Brown, Adam, et al.
Published: (2022)

Complex Matching Distance and Stability for Minimal Projective Resolutions, with Applications to Persistence
by: Asashiba, Hideto, et al.
Published: (2026)

On preservation of relative resolutions for poset representations
by: Aoki, Toshitaka, et al.
Published: (2025)

An axiomatic treatment of Persistent Homology
by: Ura, Sergio Tsuyoshi, et al.
Published: (2024)

Persistent Local Systems of Periodic Spaces
by: Onus, Adam, et al.
Published: (2025)

Bigraded Betti numbers and Generalized Persistence Diagrams
by: Kim, Woojin, et al.
Published: (2021)

Homological approximations in persistence theory
by: Blanchette, Benjamin, et al.
Published: (2021)

Decomposing Multiparameter Persistence Modules
by: Dey, Tamal K., et al.
Published: (2025)

Notes on Pointwise Finite-Dimensional $2$-Parameter Persistence Modules
by: Li, Wenwen, et al.
Published: (2024)

Super-Polynomial Growth of the Generalized Persistence Diagram
by: Kim, Donghan, et al.
Published: (2024)

Interleaving distances from height-difference functions on posets
by: Aoki, Toshitaka
Published: (2026)

Sparsification of the Generalized Persistence Diagrams for Scalability through Gradient Descent
by: Carrière, Mathieu, et al.
Published: (2024)

Differential Calculus and Optimization in Persistence Module Categories
by: Oudot, Steve
Published: (2024)

Stabilization of codimension of persistence barcodes
by: Allman, Justin, et al.
Published: (2023)

Computing Homomorphisms of Poset Representations with Applications to Multiparameter Persistence
by: Jendrysiak, Jan
Published: (2026)

Algebraic and Topological Persistence
by: Melodia, Luciano
Published: (2024)

On the stability of multigraded Betti numbers and Hilbert functions
by: Oudot, Steve, et al.
Published: (2021)

Persistent Cost of Lipschitz Maps
by: Gozzi, Francisco J., et al.
Published: (2025)

Decomposition of Persistent Homology and Spectral Sequences
by: Yang, Peiqi, et al.
Published: (2024)

A notion of homotopy for directed graphs and their flag complexes
by: Chaplin, Thomas, et al.
Published: (2024)

Persistence and Topological Complexity
by: Mémoli, Facundo, et al.
Published: (2025)