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arXiv · 2206.02586

Monoidally graded manifolds

Shuhan Jiang
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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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Shuhan Jiang. 2022-06-06. Monoidally graded manifolds. https://doi.org/10.1016/j.geomphys.2022.104701

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