Fusion-stable structures on triangulation categories
Y Qiu, X Zhang - arXiv preprint arXiv:2310.02917, 2023 - arxiv.org
Let $\mathcal {G} $ be a fusion category acting on a triangulated category $\mathcal {D} $, in
the sense that $\mathcal {D} $ is a $\mathcal {G} $-module category. Our motivation example …
the sense that $\mathcal {D} $ is a $\mathcal {G} $-module category. Our motivation example …
Cycles in spherical Deligne complexes and application to -conjecture for Artin groups
J Huang - arXiv preprint arXiv:2405.12068, 2024 - arxiv.org
We show the $ K (\pi, 1) $-conjecture holds for Artin groups whose Dynkin diagrams are
complete bipartite (edge labels are allowed to be arbitrary), answering a question of J …
complete bipartite (edge labels are allowed to be arbitrary), answering a question of J …
Fusion-equivariant stability conditions and Morita duality
Given a triangulated category $ D $ with an action of a fusion category $ C $, we study the
moduli space $ Stab_ {C}(D) $ of fusion-equivariant Bridgeland stability conditions on $ D …
moduli space $ Stab_ {C}(D) $ of fusion-equivariant Bridgeland stability conditions on $ D …
Curves in the disc, the type braid group, and a type zigzag algebra
We construct a finite-dimensional quiver algebra from the non-simply laced type B Dynkin
diagram, which we call type B zigzag algebra. This leads to a faithful categorical action of …
diagram, which we call type B zigzag algebra. This leads to a faithful categorical action of …
Introduction to stability conditions and its relation to the conjecture for Artin groups
E Heng - arXiv preprint arXiv:2404.11562, 2024 - arxiv.org
arXiv:2404.11562v1 [math.GR] 17 Apr 2024 Page 1 INTRODUCTION TO STABILITY
CONDITIONS AND ITS RELATION TO THE K(π,1) CONJECTURE FOR ARTIN GROUPS …
CONDITIONS AND ITS RELATION TO THE K(π,1) CONJECTURE FOR ARTIN GROUPS …
Stability conditions and Artin--Tits groups
We describe spaces of Bridgeland stability conditions on certain triangulated categories
associated to Coxeter systems. These categories are defined algebraically using the …
associated to Coxeter systems. These categories are defined algebraically using the …
Stability conditions and group actions
H Dell - 2024 - era.ed.ac.uk
We study slope-stable vector bundles and Bridgeland stability conditions on varieties which
are a quotient of a smooth projective variety by a finite group G acting freely. We show that …
are a quotient of a smooth projective variety by a finite group G acting freely. We show that …
Curves in the disc, the type B braid group, and the type B zigzag algebra
We construct a finite dimensional quiver algebra from the non-simply laced type $ B $
Dynkin diagram, which we call the type $ B $ zigzag algebra. This leads to a faithful …
Dynkin diagram, which we call the type $ B $ zigzag algebra. This leads to a faithful …