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The Proper Landau–Ginzburg Potential, Intrinsic Mirror Symmetry and the Relative Mirror Map (2024)
Journal Article
You, F. (2024). The Proper Landau–Ginzburg Potential, Intrinsic Mirror Symmetry and the Relative Mirror Map. Communications in Mathematical Physics, 405, Article 79. https://doi.org/10.1007/s00220-024-04954-3

Given a smooth log Calabi–Yau pair (X, D), we use the intrinsic mirror symmetry construction to define themirror proper Landau–Ginzburg potential and show that it is a generating function of two-point relative Gromov–Witten invariants of (X, D). We c... Read More about The Proper Landau–Ginzburg Potential, Intrinsic Mirror Symmetry and the Relative Mirror Map.

A Gromov–Witten Theory for Simple Normal-Crossing Pairs Without Log Geometry (2023)
Journal Article
Tseng, H.-H., & You, F. (2023). A Gromov–Witten Theory for Simple Normal-Crossing Pairs Without Log Geometry. Communications in Mathematical Physics, 401(1), 803-839. https://doi.org/10.1007/s00220-023-04656-2

We define a new Gromov–Witten theory relative to simple normal crossing divisors as a limit of Gromov–Witten theory of multi-root stacks. Several structural properties are proved including relative quantum cohomology, Givental formalism, Virasoro con... Read More about A Gromov–Witten Theory for Simple Normal-Crossing Pairs Without Log Geometry.