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A Graded Case

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Introduction to Symplectic Geometry
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Abstract

In this section, we generalize the concept of symplectic structures to supermanifolds (see Refs. Kostant, Graded manifolds, graded Lie theory and prequantization, Springer, Berlin, 1977, [18], Leites, Usp Math Nauk 35:3–57, 1980, [19]). We first give the definition of supermanifolds, or according to B. Kostant (see Ref. Kostant, Graded manifolds, graded Lie theory and prequantization, Springer, Berlin, 1977, [18]), graded manifolds.

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Correspondence to Jean-Louis Koszul .

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© 2019 Springer Nature Singapore Pte Ltd. and Science Press

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Koszul, JL., Zou, Y.M. (2019). A Graded Case. In: Introduction to Symplectic Geometry. Springer, Singapore. https://doi.org/10.1007/978-981-13-3987-5_6

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