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Graded Manifolds and Supermanifolds

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Mathematical Aspects of Superspace

Part of the book series: NATO ASI Series ((ASIC,volume 132))

Abstract

In setting out to write this summary I have tried to tell everything I knew about supermanifolds. I discovered that some of the theorems I had intended to include were without proof, and still others had sketchy proofs with many details left unverified. My policy has been to include some of these results under the heading of conjectures, indicating sketch proofs where they exist. Results called theorems, propositions, corollaries or lemmas are either given with proofs, have proofs in the literature, or I have at some point verified the details. As always, it is a good idea to check the proof of any result before using it.

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© 1984 D. Reidel Publishing Company

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Batchelor, M. (1984). Graded Manifolds and Supermanifolds. In: Seifert, HJ., Clarke, C.J.S., Rosenblum, A. (eds) Mathematical Aspects of Superspace. NATO ASI Series, vol 132. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6446-4_4

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  • DOI: https://doi.org/10.1007/978-94-009-6446-4_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6448-8

  • Online ISBN: 978-94-009-6446-4

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