Small exotic rational surfaces without 1- and 3-handles

Abstract

We give new rational blowdown constructions of exotic CP^2#n(-CP^2) (5\leq n\leq 9) without using elliptic fibrations. We also show that our 4-manifolds admit handle decompositions without 1- and 3-handles, for 7\leq n\leq 9. A strategy for rational blowdown constructions of exotic CP^2#n(-CP^2) (1\leq n\leq 4) is also proposed.

14 pages, 17 figures, minor changes

References in corpus (5)

• Corks, Plugs and exotic structures
• Exotic rational elliptic surfaces without 1-handles
• The Dolgachev Surface
• Elliptic surfaces without 1-handles
• Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures

Cited by in corpus (3)

• Exotic rational elliptic surfaces without 1-handles
• Elliptic surfaces without 1-handles
• Small exotic Stein manifolds