Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali (Dec 2022)

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

  • Peter M. Akhmetiev,
  • Matija Cencelj,
  • Dusan D. Repovs

DOI
https://doi.org/10.1478/AAPP.1002A10
Journal volume & issue
Vol. 100, no. 2
p. A10

Abstract

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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 R^36 (resp. R^83).