Bibliographic record
Abstract
Given an n n -tuple of positive real numbers ( α 1 , … , α n ) (\alpha _1,\ldots ,\alpha _n) , Konno (2000) defines the hyperpolygon space X ( α ) X(\alpha ) , a hyperkähler analogue of the Kähler variety M ( α ) M(\alpha ) parametrizing polygons in R 3 \mathbb {R}^3 with edge lengths ( α 1 , … , α n ) (\alpha _1,\ldots ,\alpha _n) . The polygon space M ( α ) M(\alpha ) can be interpreted as the moduli space of stable representations of a certain quiver with fixed dimension vector; from this point of view, X ( α ) X(\alpha ) is the hyperkähler quiver variety defined by Nakajima. A quiver variety admits a natural C ∗ \mathbb {C}^* -action, and the union of the precompact orbits is called the core . We study the components of the core of X ( α ) X(\alpha )
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.002 | 0.003 |
| Scholarly communication | 0.005 | 0.005 |
| Open science | 0.001 | 0.004 |
| Research integrity | 0.001 | 0.003 |
| Insufficient payload (model declined to judge) | 0.024 | 0.004 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".