dorsal/arxiv
View SchemaDeformation quantization of compact K\"ahler manifolds via Berezin-Toeplitz operators
| Authors | Martin Schlichenmaier |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9611022 |
| URL | https://arxiv.org/abs/q-alg/9611022 |
Abstract
This talk reports on results on the deformation quantization (star products) and on approximative operator representations for quantizable compact K"ahler manifolds obtained via Berezin-Toeplitz operators. After choosing a holomorphic quantum line bundle the Berezin-Toeplitz operator associated to a differentiable function on the manifold is the operator defined by multiplying global holomorphic sections of the line bundle with this function and projecting the differentiable section back to the subspace of holomorphic sections. The results were obtained in (respectively based on) joint work with M. Bordemann and E. Meinrenken. (Talk at the XXI Int. Coll. on Group Theoretical Methods in Physics, 15-20 July, Goslar, Germany)
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"abstract": "This talk reports on results on the deformation quantization (star products)\nand on approximative operator representations for quantizable compact K\"ahler\nmanifolds obtained via Berezin-Toeplitz operators. After choosing a holomorphic\nquantum line bundle the Berezin-Toeplitz operator associated to a\ndifferentiable function on the manifold is the operator defined by multiplying\nglobal holomorphic sections of the line bundle with this function and\nprojecting the differentiable section back to the subspace of holomorphic\nsections. The results were obtained in (respectively based on) joint work with\nM. Bordemann and E. Meinrenken. (Talk at the XXI Int. Coll. on Group\nTheoretical Methods in Physics, 15-20 July, Goslar, Germany)",
"arxiv_id": "q-alg/9611022",
"authors": [
"Martin Schlichenmaier"
],
"categories": [
"q-alg",
"alg-geom",
"dg-ga",
"math-ph",
"math.AG",
"math.DG",
"math.MP",
"math.QA"
],
"title": "Deformation quantization of compact K\\\"ahler manifolds via Berezin-Toeplitz operators",
"url": "https://arxiv.org/abs/q-alg/9611022"
},
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