Silting objects

L Angeleri Hügel - Bulletin of the London Mathematical Society, 2019 - Wiley Online Library
We give an overview of recent developments in silting theory. After an introduction on torsion
pairs in triangulated categories, we discuss and compare different notions of silting and …

Discreteness of silting objects and ‐structures in triangulated categories

T Adachi, Y Mizuno, D Yang - Proceedings of the London …, 2019 - Wiley Online Library
We introduce the notion of ST‐pairs of triangulated subcategories, a prototypical example of
which is the pair of the bound homotopy category and the bound derived category of a finite …

[PDF][PDF] Stability on contraction algebras implies K (π, 1)

J August, M Wemyss - arXiv preprint arXiv:1907.12756 - maths.gla.ac.uk
We give a homological proof of the K (π, 1)-theorem for ADE braid groups, and also for
fundamental groups of some more general simplicial hyperplane arrangements, by …

[PDF][PDF] Stability on contraction algebras

J AUGUST, M WEMYSS - Forum Math. Sigma, 2019 - maths.gla.ac.uk
This paper gives a description of the full space of Bridgeland stability conditions on the
bounded derived category of a contraction algebra associated to a 3-fold flop. The main …