Harder-Narasimhan Filtrations and Zigzag Persistence
arXiv:2211.07553
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.
27 pages, 1 figure, comments welcome!