Contractibility of the stability manifold for silting-discrete algebras
Representation Theory
2017-05-31 v1 Algebraic Geometry
Abstract
We show that any bounded t-structure in the bounded derived category of a silting-discrete algebra is algebraic, i.e. has a length heart with finitely many simple objects. As a corollary, we obtain that the space of Bridgeland stability conditions for a silting-discrete algebra is contractible.
Keywords
Cite
@article{arxiv.1705.10604,
title = {Contractibility of the stability manifold for silting-discrete algebras},
author = {David Pauksztello and Manuel Saorín and Alexandra Zvonareva},
journal= {arXiv preprint arXiv:1705.10604},
year = {2017}
}
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9 pages