Berezin-Toeplitz quantization, hyperkahler manifolds, and multisymplectic manifolds

Tatyana Barron, Baran Serajelahi

Published 2014-06-19, updated 2015-11-13Version 3

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.