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math.RT2022
Exceptional cycles in triangular matrix algebras
Peng Guo
An exceptional cycle in a triangulated category with Serre functor is a generalization of a spherical object. Suppose that and are Gorenstein algebras, given a perfect exce…
math.RT2019
Exceptional cycles for perfect complexes over gentle algebras
Peng Guo, Pu Zhang
Exceptional cycles in a triangulated category with Serre duality, introduced by N. Broomhead, D. Pauksztello, and D. Ploog, have a notable impact on the global structu…