Triple

T10269822
Position Surface form Disambiguated ID Type / Status
Subject Chern–Simons theory E240804 entity
Predicate actionFunctionalDependsOn P23285 FINISHED
Object Chern–Simons 3-form
The Chern–Simons 3-form is a differential 3-form constructed from a gauge connection whose integral defines the topological Chern–Simons action in three-dimensional gauge theories.
E240804 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: Chern–Simons 3-form | Statement: [Chern–Simons theory, actionFunctionalDependsOn, Chern–Simons 3-form]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Chern–Simons 3-form
Context triple: [Chern–Simons theory, actionFunctionalDependsOn, Chern–Simons 3-form]
  • A. Chern–Simons theory
    Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
  • B. Chern
    Chern is a settlement in Russia that historically served as the administrative center of Chernsky Uyezd.
  • C. Chern–Weil theory
    Chern–Weil theory is a framework in differential geometry that constructs characteristic classes of vector bundles from curvature forms, linking topology and geometry through invariant polynomials.
  • D. Maurer–Cartan form
    The Maurer–Cartan form is a canonical Lie algebra-valued 1-form on a Lie group that encodes its infinitesimal structure and underlies many constructions in differential geometry and gauge theory.
  • E. Rozansky–Witten theory
    Rozansky–Witten theory is a three-dimensional topological quantum field theory associated with hyperkähler manifolds that yields invariants of 3-manifolds and links via holomorphic symplectic geometry.
  • 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: Chern–Simons 3-form
Triple: [Chern–Simons theory, actionFunctionalDependsOn, Chern–Simons 3-form]
Generated description
The Chern–Simons 3-form is a differential 3-form constructed from a gauge connection whose integral defines the topological Chern–Simons action in three-dimensional gauge theories.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Chern–Simons 3-form
Target entity description: The Chern–Simons 3-form is a differential 3-form constructed from a gauge connection whose integral defines the topological Chern–Simons action in three-dimensional gauge theories.
  • A. Chern–Simons theory chosen
    Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
  • B. Chern
    Chern is a settlement in Russia that historically served as the administrative center of Chernsky Uyezd.
  • C. Chern–Weil theory
    Chern–Weil theory is a framework in differential geometry that constructs characteristic classes of vector bundles from curvature forms, linking topology and geometry through invariant polynomials.
  • D. Maurer–Cartan form
    The Maurer–Cartan form is a canonical Lie algebra-valued 1-form on a Lie group that encodes its infinitesimal structure and underlies many constructions in differential geometry and gauge theory.
  • E. Rozansky–Witten theory
    Rozansky–Witten theory is a three-dimensional topological quantum field theory associated with hyperkähler manifolds that yields invariants of 3-manifolds and links via holomorphic symplectic geometry.
  • F. None of above.

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_69d381a94c1881908fc38fc263d9b9c2 completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d4dfbfa26c8190b536655d33112ddf completed April 7, 2026, 10:43 a.m.
NED1 Entity disambiguation (via context triple) batch_69d71ceeeec88190a36a5e67dc44cfe1 completed April 9, 2026, 3:28 a.m.
NEDg Description generation batch_69d71f76e3cc8190b21a5fe8825caa2b completed April 9, 2026, 3:39 a.m.
NED2 Entity disambiguation (via description) batch_69d7319938ec8190a4a1a5f09832e3e3 completed April 9, 2026, 4:56 a.m.
Created at: April 6, 2026, 11:35 a.m.