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Record W2969136650 · doi:10.1090/conm/366/06736

The Calderón projector for the odd signature operator and spectral flow calculations in 3-dimensional topology

2005· other· en· W2969136650 on OpenAlexafffund
Hans Bodén, Christopher M. Herald, Paul Kirk

Bibliographic record

VenueContemporary mathematics - American Mathematical Society · 2005
Typeother
Languageen
FieldMathematics
TopicAdvanced Operator Algebra Research
Canadian institutionsMcMaster University
FundersNatural Sciences and Engineering Research Council of CanadaNational Science Foundation
KeywordsMathematicsProjectorSignature (topology)Operator (biology)Topology (electrical circuits)Flow (mathematics)Pure mathematicsMathematical analysisGeometryCombinatoricsComputer scienceComputer vision

Abstract

fetched live from OpenAlex

We describe analytical aspects of the theory of spectral and boundary value problems for the odd signature operator twisted by a flat connection and outline how these are used to compute gauge-theoretic topological invariants of 3-manifolds.

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.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.002
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.375
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.002
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0000.001
Science and technology studies0.0010.002
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0010.000

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.

Opus teacher head0.044
GPT teacher head0.357
Teacher spread0.312 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designNot applicable
Domainnot available
GenreMethods

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".

Quick stats

Citations0
Published2005
Admission routes2
Has abstractyes

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