2 Daniel Ruberman And

On smoothly superslice knots

We find smoothly slice (in fact doubly slice) knots in the 3-sphere with trivial Alexander polynomial that are not superslice, answering a question posed by Livingston and Meier.

Applications of 1-parameter gauge theory

A Sextic Surface Cannot Have 66 Nodes

Isotopy of 4-manifolds and the Seiberg-Witten equations

A Fake Smooth Cp#rp

We show that the manifold ∗CP# ∗RP, which is homotopy equivalent but not homeomorphic to CP#RP, is in fact smoothable.