2 papers
math.DG2025
Conformally compact metrics and the Lovelock tensors
Xinran Yu
We study conformally compact metrics satisfying the Lovelock equations, which generalize the Einstein equation. We show that these metrics admit polyhomogeneous expansions, thereby…
math.DG2024
Witten instanton complex and Morse-Bott inequalities on stratified pseudomanifolds
Gayana Jayasinghe, Hadrian Quan, Xinran Yu
In this paper we construct Witten instanton complexes on stratified pseudomanifolds with wedge metrics, for all choices of mezzo-perversities which classify the self-adjoint extens…