PreprintCC BY-NC-SA 4.0arXiv
Calabi-Yau Deformation Quantization
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.
Related
- On the exact quantization of BCOV Theory on Calabi-Yau Manifolds
- Deformation families of open Calabi-Yau manifolds and Steinness
- A note on the quantization of M2-branes on local Calabi-Yau manifolds
- A note on the BRST-BV Formalism Explanation of Deformation Quantization and Algebraic Index Theorem
- Pentagon Equation in Deformation Quantization of Character Varieties
BibTeX
@misc{ulmer2026calabiyau,
title = {{Calabi-Yau Deformation Quantization}},
author = {Jakob Ulmer},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.25438},
eprint = {2607.25438},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.25438},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Calabi-Yau Deformation Quantization
AU - Jakob Ulmer
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2607.25438
UR - https://arxiv.org/abs/2607.25438
AB - 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.
ER -