May 2, 2024Open Access

A criterion for Lie algebroid connections on a compact Riemann surface

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Abstract

Let X be a compact connected Riemann surface and (V, ) 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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Biswas et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6beabb6db64358763ee7a https://doi.org/https://doi.org/10.48550/arxiv.2405.01432

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