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arXiv · 2412.12935

$\mathcal{L}$-Lie Algebroids over Topological Ringed Spaces

Mainak Poddar·Abhishek Sarkar
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Abstract

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 $\mathcal{L}$-Lie algebroids and $\mathcal{A}$-Gerstenhaber algebras, associated with a given Lie algebroid $\mathcal{L}$ and Gerstenhaber algebra $\mathcal{A}$ over a topological ringed space, respectively. Following this, we explore how several standard correspondences extend within this broader framework.

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BibTeXRIS

Mainak Poddar, Abhishek Sarkar. 2024-12-17. $\mathcal{L}$-Lie Algebroids over Topological Ringed Spaces. https://doi.org/10.3842/sigma.2026.074

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