Geodesic
The Torelli theorem for $ALH^*$ gravitational instantons
Forum of Mathematics, Sigma, Tome 10 (2022)

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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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     author = {Tristan Collins and Adam Jacob and Yu-Shen Lin},
     title = {The {Torelli} theorem for $ALH^*$ gravitational instantons},
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Tristan Collins; Adam Jacob; Yu-Shen Lin. The Torelli theorem for $ALH^*$ gravitational instantons. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.67

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