3 papers
math.AG2025
A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology
Pieter Belmans, Sergey Galkin, Naichung Conan Leung +3
It is known that the semisimplicity of quantum cohomology implies the vanishing of off-diagonal Hodge numbers (Hodge--Tateness). We investigate which hyperplane sections of homogen…
math.AG2024
Revisiting Gamma conjecture I: counterexamples and modifications
Sergey Galkin, Jianxun Hu, Hiroshi Iritani +3
We continue investigation of asymptotics of quantum differential equation for Fano manifolds, with a special regard to Gamma conjecture I and its underlying Conjecture $\mathcal{O}…
math.NT2016
Apéry constants of homogeneous varieties
Sergey Galkin
For Fano manifolds we define Apéry constants and Apéry class as particular limits of ratios of coefficients of solutions of the quantum differential equation. We do numerical compu…