Triple

T10388676
Position Surface form Disambiguated ID Type / Status
Subject Seiberg–Witten theory E244833 entity
Predicate relatedTo P37 FINISHED
Object Donaldson theory
Donaldson theory is a gauge-theoretic framework in four-dimensional differential topology that uses moduli spaces of anti-self-dual connections to define powerful invariants distinguishing smooth structures on 4-manifolds.
E860091 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: Donaldson theory | Statement: [Seiberg–Witten theory, relatedTo, Donaldson theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Donaldson theory
Context triple: [Seiberg–Witten theory, relatedTo, Donaldson theory]
  • A. Donaldson
    Donaldson is a surname of Scottish origin borne by various notable individuals, including athletes, politicians, and academics.
  • B. V–A theory
    V–A theory is a framework in particle physics that describes the weak interaction as involving only left-handed particles and right-handed antiparticles through a combination of vector (V) and axial-vector (A) currents.
  • C. Dyson’s formula
    Dyson’s formula is a key expression in quantum field theory that provides the perturbative expansion of time-ordered exponentials, forming the basis of the Dyson series used to compute interaction effects.
  • D. Donaldson–Uhlenbeck–Yau theorem
    The Donaldson–Uhlenbeck–Yau theorem is a fundamental result in differential and algebraic geometry that characterizes when a holomorphic vector bundle over a compact Kähler manifold admits a Hermitian–Einstein metric, linking geometric stability with the existence of such metrics.
  • E. Dolan–Grady relations
    The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
  • 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: Donaldson theory
Triple: [Seiberg–Witten theory, relatedTo, Donaldson theory]
Generated description
Donaldson theory is a gauge-theoretic framework in four-dimensional differential topology that uses moduli spaces of anti-self-dual connections to define powerful invariants distinguishing smooth structures on 4-manifolds.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Donaldson theory
Target entity description: Donaldson theory is a gauge-theoretic framework in four-dimensional differential topology that uses moduli spaces of anti-self-dual connections to define powerful invariants distinguishing smooth structures on 4-manifolds.
  • A. Donaldson
    Donaldson is a surname of Scottish origin borne by various notable individuals, including athletes, politicians, and academics.
  • B. V–A theory
    V–A theory is a framework in particle physics that describes the weak interaction as involving only left-handed particles and right-handed antiparticles through a combination of vector (V) and axial-vector (A) currents.
  • C. Dyson’s formula
    Dyson’s formula is a key expression in quantum field theory that provides the perturbative expansion of time-ordered exponentials, forming the basis of the Dyson series used to compute interaction effects.
  • D. Donaldson–Uhlenbeck–Yau theorem
    The Donaldson–Uhlenbeck–Yau theorem is a fundamental result in differential and algebraic geometry that characterizes when a holomorphic vector bundle over a compact Kähler manifold admits a Hermitian–Einstein metric, linking geometric stability with the existence of such metrics.
  • E. Dolan–Grady relations
    The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
  • 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_69d381b5116081908d85227bab6d3c0c completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d4e9a59d688190b1da1ea0ed48fafa completed April 7, 2026, 11:25 a.m.
NED1 Entity disambiguation (via context triple) batch_69d795b2423c8190a7c0e9b6fcbcc6db completed April 9, 2026, 12:04 p.m.
NEDg Description generation batch_69d7998acbf881909b6f063c4bf2d0a6 completed April 9, 2026, 12:20 p.m.
NED2 Entity disambiguation (via description) batch_69d79aa0cc5481908bc14cda8fb6e8b1 completed April 9, 2026, 12:25 p.m.
Created at: April 6, 2026, 12:05 p.m.