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arXiv · 2607.25438

Calabi-Yau Deformation Quantization

Jakob Ulmer
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Abstract

We record the Calabi-Yau version of Kontsevich's formality morphism from deformation quantization. As a special case we find that any unimodular holomorphic Poisson Calabi-Yau has a canonical closed deformation quantization of its resolved algebra of functions. A broader motivation is to find an explanation of Kontsevich's deformation quantization in the setting of Calabi-Yau categories via Sen-Zwiebach's string vertices.

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Jakob Ulmer. 2026-07-28. Calabi-Yau Deformation Quantization. https://arxiv.org/abs/2607.25438

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