The Arf-Kervaire invariant of framed manifolds as an obstruction to embeddability
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).
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Accademia Peloritana dei Pericolanti
2022-12-01
|
| Series: | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| Online Access: |
http://dx.doi.org/10.1478/AAPP.1002A10
|