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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 28th 2015
   • (edited May 28th 2015)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to _[[Poisson manifold]]_ a subsection * _[Presymplectic manifolds and infinitesimal quantomorphisms](http://ncatlab.org/nlab/show/Poisson+manifold#PresymplecticManifolds)_ which states the form of the Poisson bracket on presymplectic manifolds and then discusses how this is isomorphic as a Lie algebra to the infinitesimal quantomorphisms, the infinitesimal symmetries of any prequantization of the presymplectic manifold. I have written that as one subsection for the exposition at _[[geometry of physics -- prequantum geometry]]_, but I suppose it serves well to have it right there in the entry on Poisson brackets itsef, too.

   added to Poisson manifold a subsection

   • Presymplectic manifolds and infinitesimal quantomorphisms

   which states the form of the Poisson bracket on presymplectic manifolds and then discusses how this is isomorphic as a Lie algebra to the infinitesimal quantomorphisms, the infinitesimal symmetries of any prequantization of the presymplectic manifold.

   I have written that as one subsection for the exposition at geometry of physics – prequantum geometry, but I suppose it serves well to have it right there in the entry on Poisson brackets itsef, too.