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math.DG2026
Toric gravitational instantons with four fixed points
Lars Andersson, Mattias Dahl, Gustav Nilsson
We classify the simply connected toric gravitational instantons whose torus action has four fixed points. They are the hyperkähler multi-Eguchi--Hanson and multi-Taub--NUT metrics…
math.DG2026
On the Geroch conjecture for toric gravitational instantons
Lars Andersson, Mattias Dahl, Gustav Nilsson
Geroch conjectured that the local solutions of the vacuum Einstein equations with two commuting Killing fields and vanishing twist constants are generated from flat space by an inf…