Contractibility of the stability manifold for silting-discrete algebas

Pauksztello, David and Saorin, Manuel and Zvonareva, Alexandra (2018) Contractibility of the stability manifold for silting-discrete algebas. Forum Mathematicum, 30 (5). pp. 1255-1263. ISSN 0933-7741

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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.