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Poisson supermanifold

In differential geometry a Poisson supermanifold is a differential supermanifold M such that the supercommutative algebra of smooth functions over it (to clarify this: M is not a point set space and so, doesn't "really" exist, and really, this algebra is all we have), is equipped with a bilinear map called the Poisson superbracket turning it into a Poisson superalgebra.

Every symplectic supermanifold is a Poisson supermanifold but not vice versa.

See also

poisson, supermanifold, this, article, does, cite, sources, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, news, newspapers, books, scholar, jstor, september, 2012, learn, wh. This article does not cite any sources Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources Poisson supermanifold news newspapers books scholar JSTOR September 2012 Learn how and when to remove this template message In differential geometry a Poisson supermanifold is a differential supermanifold M such that the supercommutative algebra of smooth functions over it to clarify this M is not a point set space and so doesn t really exist and really this algebra is all we have C M displaystyle C infty M is equipped with a bilinear map called the Poisson superbracket turning it into a Poisson superalgebra Every symplectic supermanifold is a Poisson supermanifold but not vice versa See also EditPoisson manifold Poisson algebra Noncommutative geometry This differential geometry related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Poisson supermanifold amp oldid 1086801642, wikipedia, wiki, book, books, library,

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