Relative Stability Conditions on Triangulated Categories
Algebraic Geometry
2024-12-06 v3 Category Theory
Differential Geometry
Abstract
We introduce the notion of relative stability conditions on triangulated categories with respect to left admissible subcategories, based on arXiv:math/0212237, and demonstrate the deformation of relative stability conditions via the deformation of gluing stability conditions in arXiv:0902.0323. The motivation for this concept stems from the discussions in arXiv:2004.04831 concerning the relationship between Bridgeland stability and the existence of the deformed Hermitian-Yang-Mills metrics on line bundles.
Cite
@article{arxiv.2411.01502,
title = {Relative Stability Conditions on Triangulated Categories},
author = {Bowen Liu and Dongjian Wu},
journal= {arXiv preprint arXiv:2411.01502},
year = {2024}
}
Comments
24 pages, revised some description and corrected some typo