Small exotic rational surfaces without 1- and 3-handles
Abstract
We give new rational blowdown constructions of exotic CP2#n(-CP2) (5≤ n≤ 9) without using elliptic fibrations. We also show that our 4-manifolds admit handle decompositions without 1- and 3-handles, for 7≤ n≤ 9. A strategy for rational blowdown constructions of exotic CP2#n(-CP2) (1≤ n≤ 4) is also proposed.
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