49 citations · 50 across the 3 of their papers we have counts for
3 papers
alg-geom1995★ 1 cited
Gauge fixing for logarithmic connections over curves and the Riemann-Hilbert-Problem
Christian Gantz, Brian Steer
We explain in detail the correspondence between algebraic connections over CP^{1}, logarithmic at X = { x_{1},...,x_{n} } \subset CP^{1}, and flat bundles over CP^{1}-X with intege…
alg-geom1995★ 49 cited
Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
Ben Nasatyr, Brian Steer
We extend Hitchin's results on "The self-duality equations on a Riemann surface" (Proc. LMS (3), vol. 55, 1987) to orbifold Riemann surfaces. We prove existence results for orbifol…
alg-geom1995
Stable Parabolic Bundles over Elliptic Surfaces and over Orbifold Riemann Surfaces
Christian Gantz, Brian Steer
For an elliptic surface , with prescribed singular fibres, Stefan Bauer proved directly via algebraic geometry that the stable bundles over , whose chern classes are…