Désingularisation de métriques d’Einstein. II

Olivier Biquard (1, 2)

1 UPMC - Université Pierre et Marie Curie - Paris 6
2 DMA - Département de Mathématiques et Applications - ENS Paris

We calculate a wall crossing formula for 4-dimensional Poincaré–Einstein metrics, through a wall made of orbifold Poincaré–Einstein metrics with A₁ singularities. This is based on a formalism which enables to deal with higher order terms of the Einstein equation in this setting. Some other consequences are deduced.

Domaines: Géométrie différentielle [math.DG]

Olivier Biquard. Désingularisation de métriques d’Einstein. II. Inventiones Mathematicae, 2016, 204 (2), pp.473-504. ⟨10.1007/s00222-015-0619-3⟩. ⟨hal-02928845⟩