Homotopy spheres III (Ex)
From Manifold Atlas
Assume Adam's result that the -homomorphism, , is injective for and for all , [Adams1966, Theorems 1.1 and 1.3].
Exercise 0.1 [Kervaire&Milnor1963, Theorem 3.1]. Show that every homotopy sphere is stably parallelisable.
[edit] References
- [Adams1966] J. F. Adams, On the groups . IV, Topology 5 (1966), 21–71. MR0198470 (33 #6628) Zbl 0145.19902
- [Kervaire&Milnor1963] M. A. Kervaire and J. W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504–537. MR0148075 (26 #5584) Zbl 0115.40505