Monoidally Graded Geometry

Shuhan Jiang

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Submission date: 07. Jun. 2022
Pages: 19
Bibtex
MSC-Numbers: 58A50
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Link to arXiv: See the arXiv entry of this preprint.

Abstract:
This note aims to give a generalization of the theory of ℤ₂-graded geometry to a theory of ℐ-graded geometry, where ℐ is a commutative semi-ring with some additional properties. We also prove Bachelor-type theorems in this setting. To our knowledge, such proofs are still missing except for some special cases (e.g., ℐ = ℤ₂ or ℕ).