The scalar curvature in formal deformation quantization. I
Symplectic Geometry
2022-11-10 v1 Differential Geometry
Quantum Algebra
Abstract
In the framework of formal deformation quantization, we apply our formal moment map construction on the space of almost complex structures to recover the Donaldson-Fujiki moment map picture of the Hermitian scalar curvature. In the integrable case, it yields a formal moment map deforming the scalar curvature moment map.
Cite
@article{arxiv.2211.04559,
title = {The scalar curvature in formal deformation quantization. I},
author = {Laurent La Fuente-Gravy},
journal= {arXiv preprint arXiv:2211.04559},
year = {2022}
}
Comments
20 pages (including 3 pages Appendix)