Kairvaire Problems in Stable Homotopy Theory
Algebraic Topology
2016-08-04 v1
Abstract
The Kervaire Problem is an unsolved problem in Stable Homotopy Theory. The first interesting example is in dimension . There exists a closed stably-parallelizable manifold with Arf-Kervaire invariant 1. It is unknown, if such a manifold exists in dimension ? The goal of the paper is to recall the construction of the manifold and investigate its properties.
Cite
@article{arxiv.1608.01206,
title = {Kairvaire Problems in Stable Homotopy Theory},
author = {Petr Akhmet'ev},
journal= {arXiv preprint arXiv:1608.01206},
year = {2016}
}