dorsal/arxiv
View SchemaA Fedosov Star Product of Wick Type for K\"ahler Manifolds
| Authors | M. Bordemann, S. Waldmann |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9605012 |
| URL | https://arxiv.org/abs/q-alg/9605012 |
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 K\"ahler 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 K\"ahler manifold.
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"abstract": "In this letter we compute some elementary properties of the Fedosov star\nproduct of Weyl type, such as symmetry and order of differentiation. Moreover,\nwe define the notion of a star product of Wick type on every K\\\"ahler manifold\nby a straight forward generalization of the corresponding star product in\n$\\mathbb C^n$: the corresponding sequence of bidifferential operators\ndifferentiates its first argument in holomorphic directions and its second\nargument in antiholomorphic directions. By a Fedosov type procedure we give an\nexistence proof of such star products for any K\\\"ahler manifold.",
"arxiv_id": "q-alg/9605012",
"authors": [
"M. Bordemann",
"S. Waldmann"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "A Fedosov Star Product of Wick Type for K\\\"ahler Manifolds",
"url": "https://arxiv.org/abs/q-alg/9605012"
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