The Arf-Kervaire Invariant of framed manifolds

Abstract

This work surveys classical and recent advances around the existence of exotic differentiable structures on spheres and its connection to stable homotopy theory.

References in corpus (2)

• Geometric approach towards stable homotopy groups of spheres. The Hopf invariant
• Geometric approach towards stable homotopy groups of spheres. The Kervaire invariant II

Cited by in corpus (1)

• Non-factorisation of Arf-Kervaire classes through ${\mathbb{R}P}^{\infty }\wedge {\mathbb{R}P}^{\infty }$