SWhat changed
An equivariant-bordism construction, detection theorem, 256-fold periodicity and a homotopy gap exclude Kervaire-invariant-one elements in the higher indexed dimensions. Combined with Browder's earlier restriction, the associated framed-manifold dimensions are limited to 2, 6, 14, 30, 62 and possibly 126 in this work.
Scientific scope
An equivariant-bordism construction, detection theorem, 256-fold periodicity and a homotopy gap exclude Kervaire-invariant-one elements in the higher indexed dimensions. Combined with Browder's earlier restriction, the associated framed-manifold dimensions are limited to 2, 6, 14, 30, 62 and possibly 126 in this work. The result does not settle dimension126; that is a boundary of these sources, not a claim that the case remains open today. Existing low-dimensional constructions and Browder's dimensional restriction are inherited.
Evidence
The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. The result does not settle dimension126; that is a boundary of these sources, not a claim that the case remains open today. Existing low-dimensional constructions and Browder's dimensional restriction are inherited.
Contributors
- The named authors in the research record · SCIENCE: Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.
- On the non-existence of elements of Kervaire invariant one
- On the non-existence of elements of Kervaire invariant one
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