3 citations · 3 across the 8 of their papers we have counts for
8 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…
Higher Embedding Dimension Creates a Stronger World Model for a Simple Sorting Task
Brady Bhalla, Honglu Fan, Nancy Chen +1
We investigate how embedding dimension affects the emergence of an internal "world model" in a transformer trained with reinforcement learning to perform bubble-sort-style adjacent…
Quantum cohomology of variations of GIT quotients and flips
Zhaoxing Gu, Song Yu, Tony Yue YU
We prove a decomposition theorem for the quantum cohomology of variations of GIT quotients. More precisely, for any reductive group and a simple -VGIT wall-crossing $X_- \da…
Discovering Hidden Algebraic Structures via Transformers with Rank-Aware Beam GRPO
Jaeha Lee, Gio Huh, Ning Su +1
Recent efforts have extended the capabilities of transformers in logical reasoning and symbolic computations. In this work, we investigate their capacity for non-linear latent patt…
Birational Invariants from Hodge Structures and Quantum Multiplication
Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev +1
We introduce new invariants of smooth complex projective varieties, called Hodge atoms. Their construction combines rational Gromov-Witten invariants with classical Hodge theory an…
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…
Log Calabi-Yau mirror symmetry and non-archimedean disks
Sean Keel, Logan White, Tony Yue YU
We give a uniform construction that includes the mirror algebra to a smooth log Calabi-Yau variety with maximal boundary, proper over an affine variety, or to a one parameter maxim…
Non-archimedean Gromov-Witten invariants
Mauro Porta, Tony Yue YU
Motivated by mirror symmetry and the enumeration of holomorphic disks, we construct the theory of Gromov-Witten invariants in the setting of non-archimedean analytic geometry. We b…