Rational Blowdowns of Smooth 4-Manifolds
In this paper we introduce a surgical procedure, called a rational blowdown, for a smooth 4-manifold X and determine how this procedure affects both the Donaldson and Seiberg-Witten invariants of X.
alg-geom↗
arXiv subjects
Ronald Fintushel
Publications and source records attributed to Ronald Fintushel.
The blowup formula for Donaldson invariants
In this paper we present a formula which relates the Donaldson invariants of a 4-manifold X with the Donaldson invariants of its blowup X#-CP(2). This blow-up formula is independent of X and involves sigma-functions associated to a naturally arising elliptic function. This, the final version, corrects some earlier misconceptions regarding signs.
alg-geom↗