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math.DG2005★ 26 cited
Some explicit solutions to the Riemann-Hilbert problem
Philip Boalch
Explicit solutions to the Riemann-Hilbert problem will be found realising some irreducible non-rigid local systems. The relation to isomonodromy and the sixth Painleve equation wil…
math.DG2001
Wild nonabelian Hodge theory on curves
Olivier Biquard, Philip Boalch
On a complex curve, we establish a correspondence between integrable connections with irregular singularities, and Higgs bundles such that the Higgs field is meromorphic with poles…