Exotic smooth structures on 4-manifolds with zero signature

Details Exotic smooth structures on 4-manifolds with zero signature Exotic smooth structures on 4-manifolds with zero signature

2010-06-02

arxiv.org/abs/1006.0293v2

Mathematics

Geometric Topology

6 pages

Scientific paper

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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