Towards Homotopy Poissonn Algebras from Nplectic Structures
Abstract
We associate a homotopy Poissonn algebra to any higher symplectic structure, which generalizes the common symplectic Poisson algebra of smooth functions. This provides robust nplectic prequantum data for most approaches to quantization. UPDATE: It has been brought to my attention that the exterior product does not close on the exterior cotensors called Poisson cotensors in the present paper. Therefore the set of Poisson cotensors as presented, is not quite yet a homotopy Poissonn algebra. However for those Poisson cotensor that do multiply into Poisson cotensors under the exterior prodoct, the computation remains valid and interesting, nonetheless. Therefor this paper might better be seen as a hint towards homotopy Poissonn algebras in higher symplectic geometry, rather then a finished theory.
 Publication:

arXiv eprints
 Pub Date:
 June 2015
 arXiv:
 arXiv:1506.01129
 Bibcode:
 2015arXiv150601129R
 Keywords:

 Mathematics  Differential Geometry
 EPrint:
 Second draft