Some remarks on the differential-geometric approach to supermanifolds
type: Item
instance of: scholarly article
title: Some remarks on the differential-geometric approach to supermanifolds
zbMATH Open document ID: 0658.58009
DOI: 10.1016/0393-0440(87)90020-9
author: Claudio Bartocci
author: Ugo Bruzzo
published in: Journal of Geometry and Physics
publication date: 1987-01-01T00:00:00Z
review text: The authors provide an analysis of the category of \(GH^{\infty}\) supermanifolds introduced by \textit{A. Rogers} [Commun. Math. Phys. 105, 375-384 (1986; Zbl 0602.58005)]. They show that a natural definition of vector bundle is not possible in this category. On the other hand, they show that any \(GH^{\infty}\) supermanifold can be made into a supermanifold of a new category which is well-behaved and which is a supermanifold in the sense of M. Rothstein.
reviewed by: A. P. Stone
Mathematics Subject Classification ID: 58A50
Mathematics Subject Classification ID: 58C50
zbMATH DE Number: 4076099
zbMATH Keywords: graded manifold
zbMATH Keywords: supergravity
zbMATH Keywords: supersymmetry. supermanifolds
zbMATH Keywords: \(GH^{\infty }\) supermanifold
Wikidata QID: Q115363168
MaRDI profile type: Publication
full work available at URL: 0393-0440(87)90020-9
OpenAlex ID: W1971639834
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description: scientific article; zbMATH DE number 4076099