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One-periodic category of twisted complexes, Cohen-Macaulay modules and differential modules

Winspeare, Joseph
arXiv (All) · Papers
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16g10representation-theory
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
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