Rational Blowdowns of Smooth 4-Manifolds

1995/05/17 by Ronald Fintushel, Ronald J. Stern, Fintushel, Ronald +1 · 5 citations
Mathematics · #57N13 (Primary) 57R55 57R57 (Secondary) #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9505018

openalex publication_date 1995/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Notions of simple type for Bauer--Furuta invariants
• Constraints on Lefschetz fibrations with four-dimensional fibers from Seiberg-Witten theory
• An Unexpected Rational Blowdown
• Orientation double covers of non-orientable Lefschetz fibrations
• On nonorientable 4--manifolds

Related

• Symplectic rational blowdowns
• An Unexpected Rational Blowdown
• Construction of Exotic Smooth Structures
• Rational blow-downs in Heegaard-Floer homology
• Symplectic rational blow-ups on rational 4-manifolds