Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Calabi–Yau manifolds | Statement: [Shing-Tung Yau, knownFor, Calabi–Yau manifolds]

Target entity: Calabi–Yau manifolds
Context triple: [Shing-Tung Yau, knownFor, Calabi–Yau manifolds]

• A. Calabi–Yau manifold chosen
  A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
• B. Strominger–Yau–Zaslow conjecture
  The Strominger–Yau–Zaslow conjecture is a proposal in mirror symmetry stating that mirror pairs of Calabi–Yau manifolds can be understood as dual special Lagrangian torus fibrations, providing a geometric explanation of mirror symmetry.
• C. Calabi–Yau metric
  A Calabi–Yau metric is a special Ricci-flat Kähler metric with SU(n) holonomy that endows Calabi–Yau manifolds with their characteristic geometric and physical properties.
• D. Calabi conjecture
  The Calabi conjecture is a fundamental result in complex differential geometry, proved by Shing-Tung Yau, which characterizes when a compact Kähler manifold admits a unique Ricci-flat Kähler metric in a given Kähler class.
• E. Complex Manifolds and Deformation of Complex Structures
  "Complex Manifolds and Deformation of Complex Structures" is a foundational mathematical monograph by Kunihiko Kodaira that systematically develops the theory of complex manifolds and their deformations, shaping modern complex geometry.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.