Contractibility of the stability manifold for silting-discrete algebras

Published 30 May 2017 in math.RT and math.AG | (1705.10604v1)

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.

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