3 papers
math.RT2026
From Pre-triangulation to Triangulation: Obstructions and Exact Lifting
Ping He, Bo Le
We give a new equivalent formulation of Verdier's octahedral axiom. An initial square in a pre-triangulated category determines an obstruction in a quotient of ordinary Hom groups.…
math.RT2024
Serre functor and torsion pairs
Zhe Han, Ping He
Given a torsion pair in an abelian category and its Happel-Reiten-Smalø tilt , the equivalence of the realization functor $D^…
math.CO2023
Cluster braid groups of Coxeter-Dynkin diagrams
Zhe Han, Ping He, Yu Qiu
Cluster exchange groupoids are introduced by King-Qiu as an enhancement of cluster exchange graphs to study stability conditions and quadratic differentials. In this paper, we intr…