Rational blow-down along Wahl type plumbing trees of spheres

Abstract

We construct smooth 4-manifolds homeomorphic but not diffeomorphic to $CP^2#k\bar{CP^2},k \in {6,7,8,9}$, using the technique of rational blow-down along Wahl type plumbing trees of spheres.

17 pages, 8 figures, v2: structural revision, accepted for publication in Algebraic & Geometric Topology

References in corpus (2)

• Simply connected symplectic 4-manifolds with $b_2^{+}=1$ and $c_1^2=2$
• On Park's exotic smooth four-manifolds

Cited by in corpus (3)

• Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds
• Comparing star surgery to rational blow-down
• Deformation of Singular Fibers of Genus $2$ Fibrations and Small Exotic Symplectic $4$-Manifolds