Monoidally graded manifolds
Differential Geometry
2022-11-09 v3 Mathematical Physics
math.MP
Abstract
We give a generalization of the theory of -graded manifolds to a theory of -graded manifolds, where 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.
Cite
@article{arxiv.2206.02586,
title = {Monoidally graded manifolds},
author = {Shuhan Jiang},
journal= {arXiv preprint arXiv:2206.02586},
year = {2022}
}
Comments
16 pages; to appear in J. Geom. Phys