A criterion for Lie algebroid connections on a compact Riemann surface

2024/05/02 by Indranil Biswas, Biswas, Indranil, Pradip Kumar +3 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2405.01432

openalex publication_date 2024/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a compact connected Riemann surface and (V, ϕ) a holomorphic Lie algebroid on X such that the holomorphic vector bundle V is stable. We give a necessary and sufficient condition on holomorphic vector bundles E on X to admit a Lie algebroid connection.

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• A criterion for holomorphic Lie algebroid connections
• Lie Algebroid Connections on Principal Bundles

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