29 citations · 137 across the 20 of their papers we have counts for
20 papers
Surgery on Nullhomologous Tori
Ronald Fintushel, Ronald J. Stern
By studying the example of smooth structures on CP^2#3(-CP^2) we illustrate how surgery on a single embedded nullhomologous torus can be utilized to change the symplectic structure…
Pinwheels and nullhomologous surgery on 4-manifolds with b^+ = 1
Ronald Fintushel, Ronald J. Stern
We present a method for finding embedded nullhomologous tori in standard 4-manifolds which can be utilized to change their smooth structure. As an application, we show how to obtai…
Exotic group actions on simply connected smooth 4-manifolds
Ronald Fintushel, Ronald J. Stern, Nathan Sunukjian
We produce infinite families of exotic actions of finite cyclic groups on simply connected smooth 4-manifolds with nontrivial Seiberg-Witten invariants.
Reverse engineering small 4-manifolds
Ronald Fintushel, B. Doug Park, Ronald J. Stern
We introduce a general procedure called `reverse engineering' that can be used to construct infinite families of smooth 4-manifolds in a given homeomorphism type. As one of the app…
Surgery on nullhomologous tori and simply connected 4-manifolds with b^+=1
Ronald Fintushel, Ronald J. Stern
For 5 <= k <= 8 we show that the infinite family of exotic smooth structures on CP^2# k(-CP^2) can be achieved by 1/n - surgeries on a single embedded nullhomologous torus in a man…
Six Lectures on Four 4-Manifolds
Ronald Fintushel, Ronald J. Stern
Despite spectacular advances in defining invariants for simply connected smooth and symplectic 4-dimensional manifolds and the discovery of effective surgical techniques, we still…