Berezin-Toeplitz quantization, hyperk\"ahler manifolds, and multisymplectic manifolds
Differential Geometry
2018-06-28 v4
Abstract
We suggest a way to quantize, using Berezin-Toeplitz quantization, a compact hyperkahler manifold (equipped with a natural 3-plectic form), or a compact integral Kahler manifold of complex dimension n regarded as a (2n-1)-plectic manifold. We show that quantization has reasonable semiclassical properties.
Keywords
Cite
@article{arxiv.1406.5159,
title = {Berezin-Toeplitz quantization, hyperk\"ahler manifolds, and multisymplectic manifolds},
author = {Tatyana Barron and Baran Serajelahi},
journal= {arXiv preprint arXiv:1406.5159},
year = {2018}
}
Comments
Minor changes; now published