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Record W652737649 · doi:10.1090/fic/047

Geometry and Topology of Manifolds

2005· book· en· W652737649 on OpenAlexaff
Hans Bodén, Ian Hambleton, Andrew Nicas, Byungkyu Park

Bibliographic record

VenueAmerican Mathematical Society eBooks · 2005
Typebook
Languageen
FieldMathematics
TopicGeometric and Algebraic Topology
Canadian institutionsUniversity of WaterlooMcMaster University
Fundersnot available
KeywordsGeometry and topologyGeometryTopology (electrical circuits)Differential topologyMathematicsRicci-flat manifoldCombinatoricsCurvatureScalar curvature

Abstract

fetched live from OpenAlex

An involution acting nontrivially on Heegaard-Floer homology by S. Akbulut and S. Durusoy Pseudoholomorphic curves in four-orbifolds and some applications by W. Chen Floer homology for knots and 3-manifolds and cyclic Dehn surgeries along knots by O. Collin A $PSL_2(\mathbb{C})$ Casson invariant by C. L. Curtis The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds by J. F. Davis Invariants of knots, embeddings and immersions via contact geometry by T. Ekholm and J. B. Etnyre SO(3)-monopoles: The overlap problem by P. M. N. Feehan and T. G. Leness Heegaard Floer homology of mapping tori II by S. Jabuka and T. Mark Surfaces in 4-manifolds and the surgery conjecture by V. S. Krushkal Symplectic gluing and family Gromov-Witten invariants by J. Lee and T. H. Parker Heegaard splittings and Seiberg-Witten monopoles by Y.-J. Lee Existence of symplectic surfaces by T.-J. Li On the Heegaard Floer homology of $S^3_{-d}(K)$ and unicuspidal rational plane curves by A. Nemethi Examples of symplectic 4-manifolds with positive signature by M. Niepel Definite manifolds bounded by rational homology three spheres by B. Owens and S. Strle On Park's exotic smooth four-manifolds by P. Ozsvath and Z. Szabo Knot polynomials and knot homologies by J. Rasmussen Casson-type invariants in dimension four by D. Ruberman and N. Saveliev Culler-Shalen norms and invariant trace fields by S. Schack and X. Zhang Complex spin structures on 3-manifolds by L. R. Taylor Lefschetz fibrations and pseudoholomorphic curves by M. Usher The isotopy problem for symplectic 4-manifolds by S. Vidussi.

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 machine prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.001
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: none
Teacher disagreement score0.005
Threshold uncertainty score0.018

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0020.001
Science and technology studies0.0010.004
Scholarly communication0.0040.005
Open science0.0010.003
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0050.001

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 head0.020
GPT teacher head0.282
Teacher spread0.261 · 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 source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designNot applicable
Domainnot available
GenreOther

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

Citations367
Published2005
Admission routes1
Has abstractyes

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