Exotic smooth structures on $S^2\times S^2$

Abstract

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

12 pages, 4 figures

References in corpus (2)

• Luttinger surgery and Kodaira dimension
• Perfect Morse functions and exotic S^2 x S^2's

Cited by in corpus (5)

• Nash homotopy spheres are standard
• The Catanese-Ciliberto-Mendes Lopes surface
• Discrete Morse Theory Is At Least As Perfect As Morse Theory
• Perfect Morse functions and exotic S^2 x S^2's
• From the icosahedron to natural triangulations of $\CC P^2$ and $S^2\times S^2$