Triple
T23745127
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hirzebruch genera |
E586792
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | generalized cohomology invariant |
C22356
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: generalized cohomology invariant Context triple: [Hirzebruch genera, instanceOf, generalized cohomology invariant]
-
A.
homological invariant
A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
-
B.
cohomology theory
chosen
A cohomology theory is a functorial assignment of graded algebraic invariants to topological spaces (or other mathematical objects) that encodes global structural and obstruction information via axioms such as exactness and homotopy invariance.
-
C.
result in equivariant cohomology
A result in equivariant cohomology is a theorem or statement describing how cohomological invariants behave under a group action, typically relating equivariant cohomology groups to ordinary cohomology or geometric data of the action.
-
D.
tool in algebraic topology
A tool in algebraic topology is a conceptual or computational method—such as homology, cohomology, or spectral sequences—used to translate topological problems into algebraic ones to analyze and classify topological spaces.
-
E.
object in invariant theory
An object in invariant theory is a mathematical entity, such as a vector space, polynomial ring, or group action, whose structure and symmetries are studied through the functions or quantities that remain unchanged under a specified group of transformations.
- F. None of above.
Provenance (1 batch)
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_69e24908efb08190bf755c3a9b91f222 |
completed | April 17, 2026, 2:51 p.m. |
Created at: April 17, 2026, 7:12 p.m.