24 citations · 82 across the 14 of their papers we have counts for
4 papers · 1 filter
Torelli-type theorems for gravitational instantons with quadratic volume growth
Gao Chen, Jeff Viaclovsky, Ruobing Zhang
We prove Torelli-type uniqueness theorems for both ALG gravitational instantons and ALG gravitational instantons which are of order . That is, the periods uniquely character…
Asymptotically Calabi metrics and weak Fano manifolds
Hans-Joachim Hein, Song Sun, Jeff Viaclovsky +1
We show that any asymptotically Calabi manifold which is Calabi-Yau can be compactified complex analytically to a weak Fano manifold. Furthermore, the Calabi-Yau structure arises f…
Hodge theory on ALG manifolds
Gao Chen, Jeff Viaclovsky, Ruobing Zhang
We develop a Fredholm Theory for the Hodge Laplacian in weighted spaces on ALG manifolds in dimension four. We then give several applications of this theory. First, we show the…
Collapsing geometry of hyperkähler 4-manifolds and applications
Song Sun, Ruobing Zhang
We investigate the collapsing geometry of hyperkähler 4-manifolds. As applications we prove two well-known conjectures in the field. (1) Any collapsed limit of unit-diameter hyperk…