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

Tatyana Barron; Baran Serajelahi

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arXiv · 1406.5159

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

Tatyana Barron·Baran Serajelahi

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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.

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BibTeX RIS

Tatyana Barron, Baran Serajelahi. 2014-06-19. Berezin-Toeplitz quantization, hyperk\"ahler manifolds, and multisymplectic manifolds. https://arxiv.org/abs/1406.5159

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