PreprintCC BY 4.0arXiv
One-periodic category of twisted complexes, Cohen-Macaulay modules and differential modules
Abstract
In this paper, we give an Aβ-enhancement of the triangulated orbit category (π―/[1])tr when π― is an algebraic triangulated category. We then use this enhancement to give a description of (per(A)/[1])tr in terms of differential modules and Cohen-Macaulay modules when A is a finite dimensional β€-graded algebra of finite global dimension.
Related
- On the Stable category of maximal Cohen-Macaulay modules over Gorenstein rings-II
- Minimal examples of Cohen-Macaulay independence complexes that fail to be shellable or vertex decomposable
- Cohen-Macaulay higher conormal and KΓ€hler differential modules of squarefree monomial ideals
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- Day Convolution and Homotopy Groups on the Pointed Homotopy Category of CW Complexes
BibTeX
@misc{winspeare2026oneperiodic,
title = {{One-periodic category of twisted complexes, Cohen-Macaulay modules and differential modules}},
author = {Joseph Winspeare},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24580},
eprint = {2609.24580},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24580},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - One-periodic category of twisted complexes, Cohen-Macaulay modules and differential modules
AU - Joseph Winspeare
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24580
UR - https://arxiv.org/abs/2609.24580
AB - In this paper, we give an A_β-enhancement of the triangulated orbit category (π―/[1])_tr when π― is an algebraic triangulated category. We then use this enhancement to give a description of (per(A)/[1])_tr in terms of differential modules and Cohen-Macaulay modules when A is a finite dimensional β€-graded algebra of finite global dimension.
ER -