activity
19942011
most citedReverse engineering small 4-manifolds

29 citations · 152 across the 22 of their papers we have counts for

collaborators

22 papers

math.GT2011★ 16 cited

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…

math.GT2010★ 24 cited

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…

math.GT2009★ 7 cited

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.

math.GT2007★ 29 cited

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…

math.GT2007★ 1 cited

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…

math.GT2006★ 3 cited

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…