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  1. ; ; ; (, Journal of Differential Geometry)
    Free, publicly-accessible full text available May 1, 2026
  2. ; ; (, Advances in Mathematics)
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  3. (, Transactions of the American Mathematical Society)
    We prove an equivalence between the superpotential defined via tropical geometry and Lagrangian Floer theory for special Lagrangian torus fibres in del Pezzo surfaces constructed by Collins-Jacob-Lin [Duke Math. J. 170 (2021), pp. 1291–1375]. We also include some explicit calculations for the projective plane, which confirm some folklore conjectures in this case. 
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  4. ; (, Advances in Theoretical and Mathematical Physics)
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  5. ; (, Transactions of the American Mathematical Society)
    Based on the uniformization theorems of gravitation instantons by Chen–Chen [Acta Math. 227 (2021), pp. 263–307], Chen–Viaclovsky [Gravitational instantons with quadratic volume growth, 2021], Collins–Jacob–Lin [Forum Math. Sigma (2021)], and Hein–Sun–Viaclovsky–Zhang [Gravitational instantons and del Pezzo surfaces], we prove that the period maps for the A L H ∗<#comment/> \mathrm {ALH}^{\ast } , A L G \mathrm {ALG} , and A L G ∗<#comment/> \mathrm {ALG}^{\ast } gravitational instantons are surjective. In particular, the period domains of these gravitational instantons are exactly their moduli spaces. 
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  6. ; ; (, Forum of Mathematics, Sigma)
    Abstract 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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  7. ; ; (, Advances in Theoretical and Mathematical Physics)
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