Two-term silting and $\tau$-cluster morphism categories
Representation Theory
2024-10-22 v5 Category Theory
Abstract
We generalise -cluster morphism categories to the setting of non-positive dg algebras with finite dimensional cohomology in all degrees. The compatibility of silting reduction with support -tilting reduction will be an essential ingredient when linking our definition to those of Buan--Marsh and Buan--Hanson.
Cite
@article{arxiv.2110.03472,
title = {Two-term silting and $\tau$-cluster morphism categories},
author = {Erlend D. Børve},
journal= {arXiv preprint arXiv:2110.03472},
year = {2024}
}
Comments
35 pages. v3: {\S}2, which previously included a flawed definition, has been removed, {\S}2 (previously {\S}3) considerably reshaped. v4: Thm. 5.3 has been removed. Contact information updated. v5: Setting generalised to non-positive dg algebras with finite dimensional cohomology in all degrees, Section 5 removed, substantial additions to some proofs