BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS

We suggest a way to quantize, using Berezin–Toeplitz quantization, a compact hyperkähler manifold (equipped with a natural 3-plectic form), or a compact integral Kähler manifold of complex dimension n regarded as a (2n−1)-plectic manifold. We show that quantization has reasonable semiclassical prope...

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Bibliographic Details
Published in:Glasgow mathematical journal 2017-01, Vol.59 (1), p.167-187
Main Authors: BARRON, TATYANA, SERAJELAHI, BARAN
Format: Article
Language:English
Subjects:
Algebra
Topological manifolds
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Summary:We suggest a way to quantize, using Berezin–Toeplitz quantization, a compact hyperkähler manifold (equipped with a natural 3-plectic form), or a compact integral Kähler manifold of complex dimension n regarded as a (2n−1)-plectic manifold. We show that quantization has reasonable semiclassical properties.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089516000100