Contact non-squeezing at large scale in ℝ2n × S1
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
We define a [Formula: see text]-equivariant version of the cylindrical contact homology used by Eliashberg–Kim–Polterovich [11] to prove contact non-squeezing for prequantized integer-capacity balls [Formula: see text], [Formula: see text] and we use it to extend their result to all [Formula: see text]. Specifically, we prove if [Formula: see text] there is no [Formula: see text], the group of compactly supported contactomorphisms of [Formula: see text] which squeezes [Formula: see text] into itself, i.e. maps the closure of [Formula: see text] into [Formula: see text]. A sheaf theoretic proof of non-existence of corresponding [Formula: see text], the identity component of [Formula: see text], is due to Chiu [7] it is not known if this is strictly weaker. Our construction has the advantage of retaining the contact homological viewpoint of Eliashberg–Kim–Polterovich and its potential for application in prequantizations of other Liouville manifolds. It makes use of the [Formula: see text]-action generated by a vertical [Formula: see text]-shift but can also be related, for prequantized balls, to the [Formula: see text]-equivariant contact homology developed by Milin [16] in her proof of orderability of lens spaces.
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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 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 | 0.000 | 0.000 |
| 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