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Deformation quantization of a hessian KV- structure on $\mathbb{R}^2$

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2509.23228

Authors: Mopeng, Herguey, Assandje, Prosper Rosaire Mama, Dongho, Joseph, Tsimi, Armand

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415332287

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