Introduction to graded geometry

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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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
Keywords:Supergeometry, graded manifold, differential graded manifold, Q-manifold.
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
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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