# Exotic smooth structures on $S^2 imes S^2$ - Mathematics > Geometric Topology

Exotic smooth structures on $S^2 imes S^2$ - Mathematics > Geometric Topology - Download this document for free, or read online. Document in PDF available to download.

Abstract: We construct an infinite family of mutually non-diffeomorphic irreduciblesmooth structures on the topological 4-manifold $S^2 \times S^2$.

Author: Anar Akhmedov, B. Doug Park

Source: https://arxiv.org/