Fairon, M. (2017) Introduction to graded geometry. European Journal of Mathematics, 3(2), pp. 208-222. (doi: 10.1007/s40879-017-0138-4)
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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.
| Item Type: | Articles |
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| Keywords: | Supergeometry, graded manifold, differential graded manifold, Q-manifold. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Fairon, Dr Maxime |
| Authors: | Fairon, M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | European Journal of Mathematics |
| Publisher: | Springer |
| ISSN: | 2199-675X |
| ISSN (Online): | 2199-6768 |
| Published Online: | 27 March 2017 |
| Copyright Holders: | Copyright © 2017 The Author |
| First Published: | First published in European Journal of Mathematics 3(2): 208-222 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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