Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
20/2022

Monoidally graded manifolds

Shuhan Jiang

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.

Received:
Jun 7, 2022
Published:
Jun 7, 2022
MSC Codes:
58A50
Keywords:
supermanifold, graded manifold, Batchelor's theorem

Related publications

inJournal
2023 Repository Open Access
Shu-Han Jiang

Monoidally graded manifolds

In: Journal of geometry and physics, 183 (2023), p. 104701