Exotic smooth structures on 4-manifolds with zero signature

Abstract

For every integer $k\ge 2$, we construct infinite families of mutually nondiffeomorphic irreducible smooth structures on the topological $4$-manifolds $(2k-1)(S^2\times S^2)$ and $(2k-1)(\CP#\CPb)$, the connected sums of $2k-1$ copies of $S^2\times S^2$ and $\CP#\CPb$.

6 pages

References in corpus (1)

• Exotic Smooth Structures on Small 4-Manifolds

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