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arXiv · 0804.3164

The Arf-Kervaire invariant of framed manifolds as an obstruction to embeddability

Peter M. Akhmetiev·Matija Cencelj·Dušan D. Repovš
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Abstract

We prove that no $14$-connected (resp. $30$-connected) stably parallelizable manifold $N^{30}$ (resp. $N^{62}$) of dimension $30$ (resp. $62$) with the Arf-Kervaire invariant 1 can be smoothly embedded into $\mathbb{R}^{36}$ (resp. $\mathbb{R}^{83}$).

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BibTeXRIS

Peter M. Akhmetiev, Matija Cencelj, Dušan D. Repovš. 2008-04-19. The Arf-Kervaire invariant of framed manifolds as an obstruction to embeddability. https://doi.org/10.1478/aapp.1002a10

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