Triple
T12027035
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Noncommutative Geometry (1994 book) |
E286303
|
entity |
| Predicate | subject |
P450
|
FINISHED |
| Object | Chern character in cyclic cohomology |
E391904
|
NE FINISHED |
Named-entity recognition
Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Chern character in cyclic cohomology | Statement: [Noncommutative Geometry (1994 book), subject, Chern character in cyclic cohomology]
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Chern character in cyclic cohomology Context triple: [Noncommutative Geometry (1994 book), subject, Chern character in cyclic cohomology]
-
A.
Connes–Moscovici index theorem
The Connes–Moscovici index theorem is a fundamental result in noncommutative geometry that generalizes the classical Atiyah–Singer index theorem to the setting of foliations and noncommutative spaces.
-
B.
Cheeger–Simons differential characters
Cheeger–Simons differential characters are geometric invariants that refine ordinary cohomology by incorporating both integral cohomology classes and differential form data, providing a model for differential cohomology theories.
-
C.
Chern character
chosen
The Chern character is a fundamental homomorphism from K-theory to cohomology that translates vector bundles into characteristic classes, playing a central role in index theory and algebraic topology.
-
D.
Chern classes
Chern classes are fundamental topological invariants in differential and algebraic geometry that classify complex vector bundles and capture their curvature and twisting properties.
-
E.
Chern–Simons forms
Chern–Simons forms are secondary characteristic classes in differential geometry that arise from connections on principal bundles and play a central role in topological quantum field theories.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d6ab4669e48190b59246358b0383ab |
elicitation | completed |
| NER | batch_69d903f02638819091e0cc0e93fa5ea7 |
ner | completed |
| NED1 | batch_69f48b8111b88190a42a8904a2d26862 |
ned_source_triple | completed |
Created at: April 8, 2026, 9:47 p.m.