• Corpus ID: 118588839

A Star Product for Differential Forms on Symplectic Manifolds

@article{Tagliaferro2008ASP,
  title={A Star Product for Differential Forms on Symplectic Manifolds},
  author={Anthony Tagliaferro},
  journal={arXiv: High Energy Physics - Theory},
  year={2008}
}
We present a star product between differential forms to second order in the deformation parameter $\hbar$. The star product obtained is consistent with a graded differential Poisson algebra structure on a symplectic manifold. The form of the graded differential Poisson algebra requires the introduction of a connection with torsion on the manifold, and places various constraints upon it. The star product is given to second order in $\hbar^2$. 

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