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UPA Perpustakaan Universitas Jember

Introduction to graded geometry

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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.

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