Berezin-Toeplitz quantization, hyperk\"ahler manifolds, and multisymplectic manifolds

Glasgow Math. J. 59, issue 1 (2017), 167-187 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.