2024/12/17 by Poddar, Mainak, Sarkar, Abhishek
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2412.12935
The notion of Lie algebroids over a topological ringed space provides a unified framework to study various geometric structures. This geometric concept is intimately connected with well-known algebraic structures, including Gerstenhaber algebras and Batalin--Vilkovisky algebras. We introduce more general concepts such as L-Lie algebroids and A-Gerstenhaber algebras, associated with a given Lie algebroid L and Gerstenhaber algebra A over a topological ringed space, respectively. Following this, we explore how several standard correspondences extend within this broader framework.