Exotic smooth structures on 4-manifolds with zero signature
Akhmedov, Anar; Park, B. Doug;
- Subject: Mathematics - Symplectic Geometry | Mathematics - Geometric Topology
For every integer $k\geq 2$, 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 $\CP#\CPb$.
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