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The total Chern class of $\mathrm{Sym}^d(\mathbb{C}^n)$ as a torus representation is a symmetric polynomial whose coefficients were conjectured positive, with a binomial log-concavity refinement. Both are established.
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The paper calls itself a case study in synchronized AI-assisted mathematics and separates the two roles: AlphaEvolve served first as a searching engine and later as what the authors call a detective for structural recurrences, including a section-long account of one conjecture; ChatGPT 5.5 Pro acted as an interactive assistant for symbolic derivations.
Provider: Google DeepMind / OpenAI · Prompt public: unknown · Independence: unknown
arXiv preprint; not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.