Triple

T36468673
Position Surface form Disambiguated ID Type / Status
Subject Teichmüller metric E898485 entity
Predicate instanceOf P0 FINISHED
Object metric on Teichmüller space C44600 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: metric on Teichmüller space
Context triple: [Teichmüller metric, instanceOf, metric on Teichmüller space]
  • A. geodesic in moduli space
    A geodesic in moduli space is the locally length-minimizing path (with respect to a chosen natural metric, such as the Weil–Petersson metric) that describes the most efficient deformation of complex structures or geometric data between two points in the moduli space.
  • B. Kähler metric chosen
    A Kähler metric is a Riemannian metric on a complex manifold that is compatible with both the complex structure and a symplectic form, such that the associated Kähler form is closed.
  • C. conformal model of the hyperbolic plane
    A conformal model of the hyperbolic plane is a geometric representation (such as the Poincaré disk or upper half-plane) in which hyperbolic lines and distances are depicted so that angles are preserved while the metric differs from the Euclidean one.
  • D. Hermitian metric
    A Hermitian metric is a smoothly varying, positive-definite Hermitian inner product on the tangent spaces of a complex manifold, compatible with its complex structure.
  • E. Kleinian group
    A Kleinian group is a discrete subgroup of the group of Möbius transformations acting on the Riemann sphere (or equivalently on hyperbolic 3-space), often studied via its geometric and dynamical properties.
  • 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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
Created at: May 3, 2026, 4:10 p.m.