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

Peter M. Akhmetiev, Matija Cencelj, Dušan D. Repovš

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).

Keywords


Arf-Kervaire invariant, manifold, embeddability

Full Text:

PDF


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

Copyright (c) 2022 Peter M. Akhmetiev, Matija Cencelj, Dušan D. Repovš

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.