Add to ORKGAbstract. Discrete derived categories were introduced by Vossieck [26] and classified by Bobiński, Geiß, Skrowoński [5]. In this article, we define the CW complex of silting pairs for a triangulated category and show that it is contractible in the case of discrete derived categories. In particular, the silting quiver of a discrete derived category is connected. We provide an explicit embedding from the silting CW complex into the stability manifold. By work of Woolf [28], there is a deformation retract of the stability manifold onto the silting pairs CW complex. We obtain that the space of stability conditions of discrete derived categories is contractible
In the setting of compactly generated triangulated categories, we show that the heart of a (co)silti...
Abstract. We study questions motivated by results in the classical theory of dynamical systems in th...
In the setting of compactly generatedt riangulated categories,we show that the heart of a (co)siltin...
Abstract. Discrete derived categories were introduced by Vossieck [26] and classified by Bobiński, ...
Discrete derived categories were studied initially by Vossieck [‘The algebras with discrete derived ...
For bounded derived categories of finite-dimensional algebras, due to the bijection of Koenig and Ya...
We show that any bounded t-structure in the bounded derived category of a silting-discrete algebra i...
Bridgeland proved that any triangulated category has a associated space of stability conditions whic...
Bridgeland proved that any triangulated category has a associated space of stability conditions whic...
Stability conditions on triangulated categories were introduced by Bridgeland as a ‘continuous’ gene...
We prove that any “finite-type” component of a stability space of a triangulated category is contrac...
We study stability conditions induced by functors between triangulated categories. Given a finite gr...
The notion of stability conditions on triangulated categories was formulated in [15]. It organizes c...
The notion of stability conditions on triangulated categories was formulated in [15]. It organizes c...
In the setting of compactly generated triangulated categories, we show that the heart of a (co)silti...
In the setting of compactly generated triangulated categories, we show that the heart of a (co)silti...
Abstract. We study questions motivated by results in the classical theory of dynamical systems in th...
In the setting of compactly generatedt riangulated categories,we show that the heart of a (co)siltin...
Abstract. Discrete derived categories were introduced by Vossieck [26] and classified by Bobiński, ...
Discrete derived categories were studied initially by Vossieck [‘The algebras with discrete derived ...
For bounded derived categories of finite-dimensional algebras, due to the bijection of Koenig and Ya...
We show that any bounded t-structure in the bounded derived category of a silting-discrete algebra i...
Bridgeland proved that any triangulated category has a associated space of stability conditions whic...
Bridgeland proved that any triangulated category has a associated space of stability conditions whic...
Stability conditions on triangulated categories were introduced by Bridgeland as a ‘continuous’ gene...
We prove that any “finite-type” component of a stability space of a triangulated category is contrac...
We study stability conditions induced by functors between triangulated categories. Given a finite gr...
The notion of stability conditions on triangulated categories was formulated in [15]. It organizes c...
The notion of stability conditions on triangulated categories was formulated in [15]. It organizes c...
In the setting of compactly generated triangulated categories, we show that the heart of a (co)silti...
In the setting of compactly generated triangulated categories, we show that the heart of a (co)silti...
Abstract. We study questions motivated by results in the classical theory of dynamical systems in th...
In the setting of compactly generatedt riangulated categories,we show that the heart of a (co)siltin...