4 papers
Non-archimedean cylinder counts are logarithmic Gromov-Witten invariants
Thorgal Hinault, Tony Yue YU
We establish a comparison result relating non-archimedean cylinder counts and logarithmic cylinder counts in a smooth affine log Calabi-Yau variety. Using the decomposition theorem…
Unfolding of equivariant F-bundles and application to the mirror symmetry of flag varieties
Thorgal Hinault, Changzheng Li, Tony Yue YU +2
We establish an unfolding theorem for equivariant F-bundles (a variant of Frobenius manifolds), generalizing Hertling-Manin's universal unfolding of meromorphic connections. As an…
Decomposition and framing of F-bundles and applications to quantum cohomology
Thorgal Hinault, Tony Yue Yu, Chi Zhang +1
F-bundle is a formal/non-archimedean version of variation of nc-Hodge structures which plays a crucial role in the theory of atoms as birational invariants from Gromov-Witten theor…
Computing Non-Archimedean Cylinder Counts in Blowups of Toric Surfaces
Thorgal Hinault
Counts of holomorphic disks are at the heart of the SYZ approach to mirror symmetry. In the non archimedean framework, these counts are expressed as counts of analytic cylinders. I…