4 papers · 1 filter
A sphere of spherical objects
Asilata Bapat, Anand Deopurkar, Anthony M. Licata
Given a Bridgeland stability condition on a 2-Calabi--Yau category, we define a simplicial complex that encodes the Harder--Narasimhan filtrations of spherical objects. For 2-Calab…
Periodic elements in finite type Artin-Tits groups and stability conditions
Edmund Heng, Anthony M. Licata, Oded Yacobi
Periodic elements in finite type Artin--Tits groups are elements some positive power of which is central. We give a dynamical characterisation of periodic elements via their action…
Fusion-equivariant stability conditions and Morita duality
Hannah Dell, Edmund Heng, Anthony M. Licata
Given a triangulated category with an action of a fusion category , we study the moduli space of fusion-equivariant Bridgeland stability conditions on . The…
Stability conditions and Artin--Tits groups
Edmund Heng, Anthony M. Licata
We describe spaces of Bridgeland stability conditions on certain triangulated categories associated to Coxeter systems. These categories are defined algebraically using the categor…