1 citations · 1 across the 2 of their papers we have counts for
5 papers
Diabatic Limit, Eta Invariants and Cauchy-Riemann Manifolds of Dimension 3
Olivier Biquard, Marc Herzlich, Michel Rumin
We relate a recently introduced non-local geometric invariant of compact strictly pseudoconvex Cauchy-Riemann (CR) manifolds of dimension 3 to various eta-invariants in CR geometry…
Autodual Einstein versus Kahler-Einstein
Olivier Biquard
Any strictly pseudoconvex domain in C2 carries a complete Kahler-Einstein metric, the Cheng-Yau metric, with ``conformal infinity'' the CR structure of the boundary. It is well kno…
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…
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…
Asymptotic behaviour and the moduli space of doubly-periodic instantons
Olivier Biquard, Marcos Jardim
We study doubly-periodic instantons, i.e. instantons on the product of a 1-dimensional complex torus T with a complex line C, with quadratic curvature decay. We determine the asymp…