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

Autori

DOI:

https://doi.org/10.1478/AAPP.1002A10

Parole chiave:

Arf-Kervaire invariant, manifold, embeddability

Abstract

We prove that no 14-connected (resp. 30-connected) stably parallelizable manifold N30 (resp. N62) of dimension 30 (resp. 62) with the Arf-Kervaire invariant 1 can be smoothly embedded into ℝ36 (resp. ℝ83).

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Pubblicato

2022-12-05

Fascicolo

V. 100 N. 2 (2022)

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Articoli

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