Vortices on the cylinder

We apply the finite dimensional approximation techniques of Furuta, Kronheimer, and Manolescu to give a new proof of a result of Jaffe and Taubes.Comment: 31 page

Dihedral homology and the moon

The equivariant homology of a twisted action of the orthogonal group on the free loop space of spheres was computed by Lodder via dihedral homology. In this note we explain how this twisted action appears in the restricted three body problem after Moser regularization.Comment: 12 page