Central support for triangulated categories
Category Theory
2023-11-28 v1 Algebraic Geometry
Algebraic Topology
Representation Theory
Abstract
For any essentially small triangulated category the centre of its lattice of thick subcategories is introduced; it is a spatial frame and yields a notion of central support. A relative version of this centre recovers the support theory for tensor triangulated categories and provides a universal notion of cohomological support. Along the way we establish Mayer-Vietoris sequences for pairs of commuting subcategories.
Cite
@article{arxiv.2301.10464,
title = {Central support for triangulated categories},
author = {Henning Krause},
journal= {arXiv preprint arXiv:2301.10464},
year = {2023}
}
Comments
18 pages