One-periodic category of twisted complexes, Cohen-Macaulay modules and differential modules
Year: 2026
Type: preprint
Abstract: In this paper, we give an $A_\infty$-enhancement of the triangulated orbit category $(\mathcal{T}/[1])_{tr}$ when $\mathcal{T}$ is an algebraic triangulated category. We then use this enhancement to give a description of $(\text{per}(A)/[1])_{tr}$ in terms of differential modules and Cohen-Macaulay modules when $A$ is a finite dimensional $\mathbb{Z}$-graded algebra of finite global dimension.
Source: arXiv (Cornell University)
Author: Winspeare, Joseph
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214049703