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A criterion for Lie algebroid connections on a compact Riemann surface

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arxiv 2405.01432 v2 pith:LUBM2MVO submitted 2024-05-02 math.AG math.DG

Indranil Biswas , Pradip Kumar , Anoop Singh This is my paper · ORCID
classification math.AGmath.DG
keywords algebroidholomorphiccompactriemannsurfacevectoradmitbundle
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abstract

Let $X$ be a compact connected Riemann surface and $(V, \phi)$ 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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    cs.CL 2025-06 reject novelty 5.0 of 10

    A multi-hop QA probe of four LLMs claims intersectional mental-health bias and 66-94% debiasing, but the bias metric is undefined and no conventional baseline is tested.

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