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.