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math.DG2001
A Burns-Epstein invariant for ACHE 4-manifolds
Olivier Biquard, Marc Herzlich
We define a renormalized characteristic class for Einstein asymptotically complex hyperbolic (ACHE) manifolds of dimension 4: for any such manifold, the polynomial in the curvature…
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…