Nonabelian localization for U(1) Chern–Simons theory
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
This article studies an analogue of the work of Beasley and Witten [BW] for the Chern–Simons partition function on a Seifert Manifold for U(1) gauge group. A key point is that our gauge group is not simply connected, whereas this is an essential assumption in Beasley and Witten’s [BW] work. We are still able to use Beasley and Witten’s results, however, to derive a definition of a U(1) Chern–Simons partition function. We then compare this result to a definition of the U(1) Chern–Simons partition function given by Mihaela Manoliu [M], and find that the two definitions agree up to some undetermined multiplicative constant. These results lead to a natural interpretation of the Ray-Singer analytic (Reidemeister) torsion as a symplectic volume form on the moduli space of flat U(1) connections over a Seifert three-manifold.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 | 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 | 0.001 | 0.000 |
| Research integrity | 0.001 | 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