Preprint in the OpenAI Math release
The Kervaire invariant problem at the prime three
OpenAI
Abstract
We solve the Kervaire invariant problem at the prime three for the standard Kervaire classes in the mod-three Adams spectral sequence. These classes survive precisely at indices 0, 2, and 3, and each surviving detection coset contains an element of additive order three. In particular, there is an order-three Kervaire element in stem 322.
open until 1 Jan 2028
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