A note on the divisibility of the Whitehead square
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917278408245248 |
|---|---|
| author | Minami, Haruo |
| author_facet | Minami, Haruo |
| contents | We show that if we suppose n>3 and the (2n-1)-stem in the stable homotopy groups of spheres has no 2-torsion, then the Whitehead squares of the identity maps of (2n+1) and (4n+3)-spheres are divisible by 2. Applying the result of G. Wang and Z. Xu on the 61-stem in the stable homotopy groups of spheres, we find that the Kervaire invariant one elements in dimensions 62 and 126 exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_14604 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A note on the divisibility of the Whitehead square Minami, Haruo Algebraic Topology 55Q15 55Q50 We show that if we suppose n>3 and the (2n-1)-stem in the stable homotopy groups of spheres has no 2-torsion, then the Whitehead squares of the identity maps of (2n+1) and (4n+3)-spheres are divisible by 2. Applying the result of G. Wang and Z. Xu on the 61-stem in the stable homotopy groups of spheres, we find that the Kervaire invariant one elements in dimensions 62 and 126 exist. |
| title | A note on the divisibility of the Whitehead square |
| topic | Algebraic Topology 55Q15 55Q50 |
| url | https://arxiv.org/abs/2106.14604 |