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arXiv · 2509.05725

Noncommutative Kn\"{o}rrer periodicity via equivariantization

Xiao-Wu Chen·Wenchao Wu
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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.

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Xiao-Wu Chen, Wenchao Wu. 2025-09-06. Noncommutative Kn\"{o}rrer periodicity via equivariantization. https://arxiv.org/abs/2509.05725

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