3 papers
math.DG2008★ 1 cited
Magnetic monopoles on manifolds with boundary
Paul Norbury
Kapustin and Witten associate a Hecke modification of a holomorphic bundle over a Riemann surface to a singular monopole on a Riemannian surface times an interval satisfying prescr…
math.AG2008★ 5 cited
Counting lattice points in the moduli space of curves
Paul Norbury
We show how to define and count lattice points in the moduli space $\modm_{g,n}$ of genus g curves with n labeled points. This produces a polynomial with coefficients that include…
math.GT2002
Minimal spheres of arbitrarily high Morse index
Joel Hass, Paul Norbury, J. Hyam Rubinstein
We construct a smooth Riemannian metric on any 3-manifold with the property that there are genus zero embedded minimal surfaces of arbitrarily high Morse index.