Anthony M. Licata

collaborators

5 papers

math.GR2025

Normalisers of parabolic subgroups of Artin--Tits groups and Tits cone intersections

Owen Garnier, Edmund Heng, Anthony Licata +1

Let $I^$ be a Coxeter diagram and let $J \subseteq I^$ . Motivated by 3-fold flops, Iyama and Wemyss study the hyperplane arrangement in the Tits cone intersection of $J$ , which is…

math.RT2025

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…

math.RT2025

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…

math.RT2025

Fusion-equivariant stability conditions and Morita duality

Hannah Dell, Edmund Heng, Anthony M. Licata

Given a triangulated category $D$ with an action of a fusion category $C$ , we study the moduli space $S t a b_{C} (D)$ of fusion-equivariant Bridgeland stability conditions on $D$ . The…

math.RT2024

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…