Abstract
For every large enough integer k that is not divisible by 4, we construct infinite families of mutually non-diffeomorphic reducible smooth structures on the topological 4-manifolds 2k(S2 × S2) and 2k(ℂℙ2#ℂℙ2), the connected sums of 2k copies of S2 × S2 and ℂℙ2#ℂℙ 2.
Original language | English (US) |
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Article number | jtt043 |
Pages (from-to) | 607-616 |
Number of pages | 10 |
Journal | Journal of Topology |
Volume | 7 |
Issue number | 3 |
DOIs | |
State | Published - Sep 2014 |