Noncommutative Kn\"{o}rrer periodicity via equivariantization
Rings and Algebras
2025-09-09 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We establish noncommutative Kn\"{o}rrer periodicity for projective-module factorizations over an arbitrary ring, using the equivariantization theory with respect to various actions by a cyclic group of order two. We obtain an explicit quasi-inverse of the periodicity. We compare the periodicity with a certain tensor functor between big singularity categories.
Cite
@article{arxiv.2509.05725,
title = {Noncommutative Kn\"{o}rrer periodicity via equivariantization},
author = {Xiao-Wu Chen and Wenchao Wu},
journal= {arXiv preprint arXiv:2509.05725},
year = {2025}
}
Comments
Any comments are welcome. 23 pages