Deformation quantization of a hessian KV- structure on $\mathbb{R}^2$
Differential Geometry
2025-09-30 v1
Abstract
This paper studies the quantization of the deformation of Hessian structures on a two-dimensional vector space, in the framework of Koszul-Vinberg algebras. We analyze how Hessian structures can be deformed to obtain quantum structures while preserving certain geometric and algebraic properties. The aim of the paper is to establish links between deformation theory and Hessian geometry.
Cite
@article{arxiv.2509.23228,
title = {Deformation quantization of a hessian KV- structure on $\mathbb{R}^2$},
author = {Herguey Mopeng and Prosper Rosaire Mama Assandje and Joseph Dongho and Armand Tsimi},
journal= {arXiv preprint arXiv:2509.23228},
year = {2025}
}