Triple

Target class: 4-manifold invariant
Context triple: [Donaldson invariants, instanceOf, 4-manifold invariant]

• A. homological invariant
  A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
• B. four-dimensional manifold chosen
  A four-dimensional manifold is a topological space that locally resembles four-dimensional Euclidean space, meaning each point has a neighborhood homeomorphic to an open subset of ℝ⁴.
• C. tool in algebraic topology
  A tool in algebraic topology is a conceptual or computational method—such as homology, cohomology, or spectral sequences—used to translate topological problems into algebraic ones to analyze and classify topological spaces.
• D. topological quantum field theory
  A topological quantum field theory is a quantum field theory whose observables and correlation functions depend only on the topology of the underlying spacetime manifold, not on its geometric details such as distances or angles.
• E. self-homeomorphism of a surface
  A self-homeomorphism of a surface is a continuous bijection from the surface to itself with a continuous inverse, preserving its topological structure.
• F. None of above.