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arXiv · 2211.07553

Harder-Narasimhan Filtrations and Zigzag Persistence

Marc Fersztand·Vidit Nanda·Ulrike Tillmann
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Abstract

We introduce a sheaf-theoretic stability condition for finite acyclic quivers. Our main result establishes that for representations of affine type $\widetilde{\mathbb{A}}$ 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.

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Marc Fersztand, Vidit Nanda, Ulrike Tillmann. 2022-11-14. Harder-Narasimhan Filtrations and Zigzag Persistence. https://arxiv.org/abs/2211.07553

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