Harder-Narasimhan Filtrations and Zigzag Persistence
Representation Theory
2022-11-17 v2 Algebraic Topology
Abstract
We introduce a sheaf-theoretic stability condition for finite acyclic quivers. Our main result establishes that for representations of affine type 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.
Cite
@article{arxiv.2211.07553,
title = {Harder-Narasimhan Filtrations and Zigzag Persistence},
author = {Marc Fersztand and Vidit Nanda and Ulrike Tillmann},
journal= {arXiv preprint arXiv:2211.07553},
year = {2022}
}
Comments
27 pages, 1 figure, comments welcome!