Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Dedicated to Professor Akihiro Tsuchiya on his sixtieth birthday Abstract. These notes have two parts. The first is a study of Nekrasov’s deformed partition functions Z(ε1, ε2,⃗a; q,⃗τ) of N = 2 SUSY Yang-Mills theories, which are generating functions of the integration in the equivariant cohomology over the moduli spaces of instantons on R4. The second is review of geometry of the Seiberg-Witten curves and the geometric engineering of the gauge theory, which are physical backgrounds of Nekrasov’s partition functions. The first part is continuation of our previous paper [61], where we identified the Seiberg-Witten prepotential with Z(0, 0,⃗a; q,0). We put higher Casimir operators to the partition function and clarify their relation to the Seiberg-Witten u-plane. We also determine the coefficients of ε1ε2 and (ε2 1 + ε2 2)/3 (the genus 1 part) of the partition function, which coincide with two measure factors A, B appeared in the u-plane integral. The proof is based on the blowup equation which we derived in [61]. These notes are based on authors ’ lectures at Centre de Recherches Mathématiques,
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it