On the homology cobordism group of homology 3-spheres
Nikolai Saveliev
In this paper we present our results on the homology cobordism group $\mathbf\Theta^3_{\mathbb Z}$ of the oriented integral homology 3-spheres. We specially emphasize the role played in the subject by the gauge theory including Floer homology and invariants by Donaldson and Seiberg–Witten.