Harder-Narasimhan filtrations and zigzag persistence

被引：1
|
作者：
Fersztand, Marc
Nanda, Vidit
Tillmann, Ulrike
机构：
来源：
ADVANCES IN APPLIED MATHEMATICS | 2024年 / 153卷
基金：
英国工程与自然科学研究理事会;
关键词：
REPRESENTATIONS; COHOMOLOGY; STABILITY; MODULI; SPACES;
D O I：
10.1016/j.aam.2023.102634
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a sheaf-theoretic stability condition for finite acyclic quivers. Our main result establishes that for representations of affine type (A) over tilde 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. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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