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The Torelli theorem for ALH∗ gravitational instantons

The Torelli theorem for ALH∗ gravitational instantons Lin, Yu-Shen; Collins, Tristan C.; Jacob, Adam We give a short proof of the Torelli theorem for ALH∗ gravitational instantons, using the authors' previous construction of mirror special Lagrangian fibrations in del Pezzo surfaces and rational elliptic surfaces together with recent work of Sun-Zhang. In particular, this includes an identification of 10 diffeomorphism types of ALH∗b gravitational instantons.

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