53 citations · 390 across the 41 of their papers we have counts for
4 papers · 1 filter
Hyperbolic monopoles and holomorphic spheres
Michael K. Murray, Paul Norbury, Michael A. Singer
We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.
The Orevkov invariant of an affine plane curve
Walter D. Neumann, Paul Norbury
We show that although the fundamental group of the complement of an algebraic affine plane curve is not easy to compute, it possesses a more accessible quotient, which we call the…
A proof of Atiyah's conjecture on configurations, of four points in Euclidean three-space
Michael Eastwood, Paul Norbury
From any configuration of finitely many points in Euclidean three-space, Atiyah constructed a determinant and conjectured that it was always non-zero. Atiyah and Sutcliffe (hep-th/…
Boundary algebras of hyperbolic monopoles
Paul Norbury
We prove the conjecture that a monopole in three-dimensional anti-de Sitter space can be completely determined by its ``holographic'' image on the conformal boundary two-sphere.