Triple
T10389221
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weil cohomology |
E244845
|
entity |
| Predicate | satisfies |
P4233
|
FINISHED |
| Object | Lefschetz fixed point formula |
E262120
|
NE FINISHED |
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lefschetz fixed point formula Context triple: [Weil cohomology, satisfies, Lefschetz fixed point formula]
-
A.
Lefschetz fixed-point theorem
chosen
The Lefschetz fixed-point theorem is a fundamental result in algebraic topology that relates the number of fixed points of a continuous map on a topological space to traces of the induced maps on its homology groups.
-
B.
Atiyah–Bott fixed-point theorem
The Atiyah–Bott fixed-point theorem is a fundamental result in equivariant cohomology that expresses global invariants, such as indices of elliptic operators, in terms of local data at the fixed points of a group action.
-
C.
Grothendieck–Ogg–Shafarevich formula
The Grothendieck–Ogg–Shafarevich formula is a result in arithmetic geometry that relates the Euler characteristic of an ℓ-adic sheaf on a curve over a finite field to local invariants such as conductors and ramification data.
-
D.
Poincaré–Hopf theorem
The Poincaré–Hopf theorem is a fundamental result in differential topology that relates the sum of the indices of a vector field’s isolated zeros on a compact manifold to the manifold’s Euler characteristic.
-
E.
Lefschetz
Lefschetz is a surname most notably associated with Solomon Lefschetz, a pioneering mathematician in algebraic topology and geometry.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d381b5116081908d85227bab6d3c0c |
elicitation | completed |
| NER | batch_69d4e9b40dd8819080ac839487020a44 |
ner | completed |
| NED1 | batch_69d87e7adc3881909731d5289f370b8b |
ned_source_triple | completed |
Created at: April 6, 2026, 12:05 p.m.