Two theorems of Rokhlin
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 274-281
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Two theorems due to V. A. Rokhlin are proved: on the third stable homotopy group of spheres: $\pi_{n+3} (S^n)\approx\mathbb Z_{24}$ for $n\ge5$; and on the divisibility by 16 of the signature of a spin 4-manifold. The proofs use immersion theory.