arXiv subjects

Herguey Mopeng

Publications and source records attributed to Herguey Mopeng.

2 recordsLinked to original sources

arXiv2025

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

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.

math.DG↗

arXiv2025

On KV-Poisson Structure and related invariants

We propose an deepened analysis of KV-Poisson structures of on IR^2. We present their classification their properties an their possible applications in different domains. We prove that these structure give rise to a new Cohomological invariant. We explicitly compute the Cohomological groups of some of these structures.

math.DG↗