Triple
T36367278
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Duistermaat–Heckman formula |
E895659
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in symplectic geometry |
C28593
|
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: result in symplectic geometry Context triple: [Duistermaat–Heckman formula, instanceOf, result in symplectic geometry]
-
A.
theory in symplectic geometry
A theory in symplectic geometry is a coherent framework of definitions, structures, and results that studies manifolds equipped with a closed, nondegenerate 2-form and the geometric, dynamical, and topological phenomena arising from this structure.
-
B.
statement in symplectic geometry
A statement in symplectic geometry is a precise mathematical assertion about structures and phenomena invariant under symplectomorphisms on symplectic manifolds, often relating geometric, dynamical, and topological properties encoded by a nondegenerate closed 2-form.
-
C.
result in complex differential geometry
A result in complex differential geometry is a proven theorem or proposition that describes how geometric structures on complex manifolds behave under conditions involving both complex-analytic and differential properties.
-
D.
phenomenon in Hamiltonian dynamical systems
A phenomenon in Hamiltonian dynamical systems is any observable behavior or qualitative pattern—such as stability, chaos, resonances, or invariant structures—that arises from the evolution of states governed by a Hamiltonian function and symplectic geometry.
-
E.
result in equivariant cohomology
chosen
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.
- 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_69f76e5115588190ad8738860b7bc68b |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:10 p.m.