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arXiv · 1608.01206

Kairvaire Problems in Stable Homotopy Theory

Petr Akhmet'ev
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Abstract

The Kervaire Problem is an unsolved problem in Stable Homotopy Theory. The first interesting example is in dimension $30$. There exists a closed stably-parallelizable manifold $\tilde{M}^{30}$ with Arf-Kervaire invariant 1. It is unknown, if such a manifold exists in dimension $126$? The goal of the paper is to recall the construction of the manifold $M^{30}$ and investigate its properties.

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Petr Akhmet'ev. 2016-08-03. Kairvaire Problems in Stable Homotopy Theory. https://arxiv.org/abs/1608.01206

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