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Monoidally graded manifolds
Published 6 Jun 2022 in math.DG, math-ph, and math.MP | (2206.02586v3)
Abstract: We give a generalization of the theory of $\mathbb{Z}_2$-graded manifolds to a theory of $\mathcal{I}$-graded manifolds, where $\mathcal{I}$ is a commutative semi-ring with some additional properties. We prove Batchelor's theorem in this generalized setting. To our knowledge, such a proof is still missing except for some special cases.
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