dorsal/arxiv
View SchemaOn the Deformation Quantization of super-Poisson Brackets
| Authors | Martin Bordemann |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9605038 |
| URL | https://arxiv.org/abs/q-alg/9605038 |
Abstract
We show that for every vector bundle E over any given symplectic manifold M there exists an explicitly given super-Poisson bracket on the space of sections of the dual Grassmann bundle associated to E built out of symplectic structure of M, a fibre metric on E, and a connection in E compatible with the given fibre metric. Moreover, we construct a deformation quantization for this space of sections by means of a Fedosov type procedure.
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"abstract": "We show that for every vector bundle E over any given symplectic manifold M\nthere exists an explicitly given super-Poisson bracket on the space of sections\nof the dual Grassmann bundle associated to E built out of symplectic structure\nof M, a fibre metric on E, and a connection in E compatible with the given\nfibre metric. Moreover, we construct a deformation quantization for this space\nof sections by means of a Fedosov type procedure.",
"arxiv_id": "q-alg/9605038",
"authors": [
"Martin Bordemann"
],
"categories": [
"q-alg",
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"title": "On the Deformation Quantization of super-Poisson Brackets",
"url": "https://arxiv.org/abs/q-alg/9605038"
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