29 citations · 152 across the 22 of their papers we have counts for
13 papers · 1 filter
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…