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math.RT2026
Exchange graphs and -vectors of surface rigid algebras
Ping He, Bo Le
We classify the connected components of support -tilting graphs of surface rigid algebras associated with partial tagged triangulations of punctured marked surfaces with nonempt…
math.RT2026
Ideal filtrations and stabilization in alternating HRS tilting
Zhe Han, Ping He
We prove that the realization functors obtained by alternating forward and backward HRS tilts of any torsion pair over a finite-dimensional algebra are equivalences from some step…
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.…