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A Fedosov Star Product of Wick Type for Kähler Manifolds

M. Bordemann·S. Waldmann
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Abstract

In this letter we compute some elementary properties of the Fedosov star product of Weyl type, such as symmetry and order of differentiation. Moreover, we define the notion of a star product of Wick type on every Kähler manifold by a straight forward generalization of the corresponding star product in $\mathbb C^n$: the corresponding sequence of bidifferential operators differentiates its first argument in holomorphic directions and its second argument in antiholomorphic directions. By a Fedosov type procedure we give an existence proof of such star products for any Kähler manifold.

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BibTeXRIS

M. Bordemann, S. Waldmann. 1996-05-08. A Fedosov Star Product of Wick Type for Kähler Manifolds. https://arxiv.org/abs/q-alg/9605012

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