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arxiv: 1705.10604 · v1 · pith:OURO2VFKnew · submitted 2017-05-30 · 🧮 math.RT · math.AG

Contractibility of the stability manifold for silting-discrete algebras

David Pauksztello , Manuel Saor\'in , Alexandra Zvonareva This is my paper
classification 🧮 math.RT math.AG
keywords silting-discretealgebraboundedstabilityalgebraicalgebrasbridgelandcategory
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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.

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  1. Fishing for complements

    math.RT 2024-02 unverdicted novelty 5.0

    Necessary and sufficient conditions for complements to presilting objects in triangulated categories are established via co-t-structures, plus an equivalence characterizing silting-discrete algebras.