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math.DG2021
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…
math.DG2021★ 3 cited
Gravitational instantons with quadratic volume growth
Gao Chen, Jeff Viaclovsky
There are two known classes of gravitational instantons with quadratic volume growth at infinity, known as type ALG and ALG. Gravitational instantons of type ALG were previousl…
math.DG2021★ 1 cited
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…