The existence of instantons implies non-trivial spacetime topology and cohomology

the verdict

SUPPORTED

the evidence backs this

Recorded sources

2 sources for · 0 against

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The presence of instantons in gauge theories and gravity is deeply connected to non-trivial topological properties and cohomology, as seen through characteristic classes and twistor formulations.

The analysis

The claim connects instantons to topology and cohomology. Papers [4] and [7] explicitly link instantons to topological invariants (such as Chern classes) and cohomological structures (such as twistor cohomology), thoroughly supporting the claim.

Evidence for · 2

Topology of Euclidean Yang–Mills fields: Instantons and monopoles

Recorded source metadata

Tamiaki Yoneya. Topology of Euclidean Yang–Mills fields: Instantons and monopoles. 1977. https://doi.org/10.1063/1.523485

Paper [4] establishes that Yang-Mills instantons in Euclidean space are fundamentally characterized by topological invariants such as the second Chern class.

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More for · 1

Twistor theory at fifty: from contour integrals to twistor strings.

Recorded source metadata

Atiyah M, Dunajski M, Mason LJ. Twistor theory at fifty: from contour integrals to twistor strings.. 2017. https://doi.org/10.1098/rspa.2017.0530

Paper [7] demonstrates that solutions like Yang-Mills and gravitational instantons are naturally encoded into and understood through twistor cohomology.

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The paper trail · every fact has a biography

first checked01 Aug 2026

judged → SUPPORTED · 8001 Aug 2026

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