Fairon, M (2017) Introduction to graded geometry. European Journal of Mathematics, 3 (2). pp. 208-222. ISSN 2199-675X
Abstract
This paper aims at setting out the basics of Z-graded manifolds theory. We introduce Z-graded manifolds from local models and give some of their properties. The requirement to work with a completed graded symmetric algebra to define functions is made clear. Moreover, we define vector fields and exhibit their graded local basis. The paper also reviews some correspondences between differential Z-graded manifolds and algebraic structures.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
Keywords: | Supergeometry; Graded manifold; Differential graded manifold; Q-manifold |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 30 Mar 2017 15:27 |
Last Modified: | 23 Jun 2023 22:26 |
Published Version: | https://doi.org/10.1007/s40879-017-0138-4 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s40879-017-0138-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:114255 |