Work

Periodic Elements in Finite-Type Artin–Tits Groups and Stability Conditions

Year: 2025

Type: article

Abstract: 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 on the corresponding 2-Calabi–Yau category and on its space of (fusion equivariant) Bridgeland stability conditions. The main theorem is that an element $\beta $ is periodic if and only if $\beta $ has a fixed point in the stability manifold.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnaf259

Authors: Edmund Heng, Anthony Licata, Oded Yacobi

Institutions: The University of Sydney, Australian National University, Centre National de la Recherche Scientifique, France Australia Mathematical Sciences and Interactions International Research Lab

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,534

Funder: Foundation for the Advancement of Mesoamerican Studies