Groups of Homotopy Spheres, I

By M. Kervaire, John W. Milnor. 2015

391 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/87a3337c0a34a524f1d42b759050bd26ddab5ac3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Zhouli Xu
2. Guozhen Wang

In Mathematical Physics

1. Zhouli Xu
2. Guozhen Wang

Citations in the corpus

• The triviality of the 61-stem in the stable homotopy groups of spheres (2016, background): “In fact, Kervaire and Milnor constructed a group Θn, which is the group of h-cobordism classes of homotopy n-spheres.”
• The Geometry and Topology of Coxeter Groups (2025, neutral): “As was mentioned previously, by surgery theory, M5 bounds a smooth contractible 6-manifold C6 (it might be necessary to first alter M5 by taking connected sum with an exotic sphere, but Kervaire and Milnor [175] had previously shown that there are no exotic 5-spheres).”