Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras
Representation Theory
2013-09-10 v4 Category Theory
Abstract
Bijective correspondences are established between (1) silting objects, (2) simple-minded collections, (3) bounded -structures with length heart and (4) bounded co--structures. These correspondences are shown to commute with mutations. The results are valid for finite-dimensional algebras. A concrete example is given to illustrate how these correspondences help to compute the space of Bridgeland's stability conditions.
Cite
@article{arxiv.1203.5657,
title = {Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras},
author = {Steffen Koenig and Dong Yang},
journal= {arXiv preprint arXiv:1203.5657},
year = {2013}
}
Comments
32 pages. Some sections are removed