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 …
A non-semisimple non-invertible symmetry
We investigate the action of a non-semisimple, non-invertible symmetry on spin chains,
whose topological defects encode the category of modules over the Taft algebra of …
whose topological defects encode the category of modules over the Taft algebra of …
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 …
Categorifications of Non-Integer Quivers: Type
DD Duffield, P Tumarkin - arXiv preprint arXiv:2302.06988, 2023 - arxiv.org
arXiv:2302.06988v1 [math.RT] 14 Feb 2023 Page 1 arXiv:2302.06988v1 [math.RT] 14 Feb 2023
CATEGORIFICATIONS OF NON-INTEGER QUIVERS: TYPE I2(2n) DREW DAMIEN DUFFIELD …
CATEGORIFICATIONS OF NON-INTEGER QUIVERS: TYPE I2(2n) DREW DAMIEN DUFFIELD …
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 …