Results 1  10
of
16
SILTING OBJECTS, SIMPLEMINDED COLLECTIONS, tSTRUCTURES AND COtSTRUCTURES FOR FINITEDIMENSIONAL ALGEBRAS
"... ar ..."
(Show Context)
On the spherical twists on 3CalabiYau categories from marked surfaces, Preprint arXiv:1407.0806 [math.RT
"... ar ..."
(Show Context)
DISCRETE DERIVED CATEGORIES II THE SILTING PAIRS CW COMPLEX AND THE STABILITY MANIFOLD
"... Abstract. 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 ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
(Show Context)
Abstract. 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.