Triple
T2648177
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Alain Connes |
E53831
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Noncommutative Geometry, Quantum Fields and Motives
Noncommutative Geometry, Quantum Fields and Motives is a seminal work by Alain Connes that develops a deep interplay between noncommutative geometry, quantum field theory, and arithmetic geometry through the language of motives.
|
E286304
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
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: Noncommutative Geometry, Quantum Fields and Motives | Statement: [Alain Connes, notableWork, Noncommutative Geometry, Quantum Fields and Motives]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Noncommutative Geometry, Quantum Fields and Motives Context triple: [Alain Connes, notableWork, Noncommutative Geometry, Quantum Fields and Motives]
-
A.
Sheaves in Geometry and Logic
Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
-
B.
Deligne cohomology
Deligne cohomology is a refined cohomology theory in algebraic geometry that combines singular cohomology and differential forms to capture both topological and arithmetic information about complex algebraic varieties.
-
C.
Atiyah–Singer index theorem
The Atiyah–Singer index theorem is a fundamental result in mathematics that links the analytical properties of elliptic differential operators to topological invariants of manifolds, unifying analysis, topology, and geometry.
-
D.
Noether’s theorem in algebraic geometry (Noether’s AF+BG theorem)
Noether’s AF+BG theorem is a foundational result in algebraic geometry that provides conditions under which a polynomial vanishing on the intersection of two plane curves can be expressed as a linear combination of their defining equations.
-
E.
Weil conjectures
The Weil conjectures are a set of deep statements about the zeta functions of algebraic varieties over finite fields that guided the development of modern algebraic geometry and were ultimately proved using étale cohomology.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Noncommutative Geometry, Quantum Fields and Motives Triple: [Alain Connes, notableWork, Noncommutative Geometry, Quantum Fields and Motives]
Generated description
Noncommutative Geometry, Quantum Fields and Motives is a seminal work by Alain Connes that develops a deep interplay between noncommutative geometry, quantum field theory, and arithmetic geometry through the language of motives.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Noncommutative Geometry, Quantum Fields and Motives Target entity description: Noncommutative Geometry, Quantum Fields and Motives is a seminal work by Alain Connes that develops a deep interplay between noncommutative geometry, quantum field theory, and arithmetic geometry through the language of motives.
-
A.
Sheaves in Geometry and Logic
Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
-
B.
Deligne cohomology
Deligne cohomology is a refined cohomology theory in algebraic geometry that combines singular cohomology and differential forms to capture both topological and arithmetic information about complex algebraic varieties.
-
C.
Atiyah–Singer index theorem
The Atiyah–Singer index theorem is a fundamental result in mathematics that links the analytical properties of elliptic differential operators to topological invariants of manifolds, unifying analysis, topology, and geometry.
-
D.
Noether’s theorem in algebraic geometry (Noether’s AF+BG theorem)
Noether’s AF+BG theorem is a foundational result in algebraic geometry that provides conditions under which a polynomial vanishing on the intersection of two plane curves can be expressed as a linear combination of their defining equations.
-
E.
Weil conjectures
The Weil conjectures are a set of deep statements about the zeta functions of algebraic varieties over finite fields that guided the development of modern algebraic geometry and were ultimately proved using étale cohomology.
- F. None of above. chosen
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ab495e192081909c77b622e8e7e15a |
completed | March 6, 2026, 9:38 p.m. |
| NER | Named-entity recognition | batch_69abd91b4b3c81908571e85a1621dfc5 |
completed | March 7, 2026, 7:51 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69af98c944548190a8dbe9b81045e97b |
completed | March 10, 2026, 4:06 a.m. |
| NEDg | Description generation | batch_69af99fcd7348190b7e99d58ce9c363a |
completed | March 10, 2026, 4:11 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69af9a5938b48190820f37f2e2280438 |
completed | March 10, 2026, 4:13 a.m. |
Created at: March 6, 2026, 9:53 p.m.