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Simplicity of the Hodge Bundle

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hodge-bundle-simplicityAlgebraposed by Dawei Chen, 2015recorded: solved

1 attempt · 1 machine check · no person has looked

Statement

Does the Hodge bundle Ωg\Omega_g over the moduli stack of genus g≥2g \ge 2 curves contain any nontrivial sub-bundles? Posed by Dawei Chen around 2015; the answer is no.

Context

A known question in Teichmüller dynamics since 2015.

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Attempts

1 attempt

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  • #1

    Attempt 1

    proof attemptAletheia (Gemini Deep Think) with Anand Patel ·
    AI involvement
    ai discovered
    — the result was found by a model.
    models
    Aletheia (Gemini Deep Think)
    people
    Anand Patel

    The mathematical content came from Aletheia, a Gemini-Deep-Think-powered agent, from a single prompt asking for a proof; the author verified and wrote the paper.

    Reviews

    0 human reviews · 1 machine check

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    • Machine check · not human verification

      machine: correct

      Recorded from VibeMathed expert verification (imported) ·

      scope Expert review reported upstream; the reviewer has no probXiv account and is not credited here

      Peer-reviewed and published in PNAS (2026); also public on arXiv.

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