3 papers
math.AG2023
Gamma conjecture and tropical geometry
Hiroshi Iritani
Hodge-theoretic mirror symmetry for a Calabi-Yau mirror pair says that the variation of Hodge structure arising from quantum cohomology of a Calabi-Yau manifold and that arising fr…
math.AG2023
Gamma classes and quantum cohomology
Hiroshi Iritani
The Gamma-class is a characteristic class for complex manifolds with transcendental coefficients. It defines an integral structure of quantum cohomology, or more precisely, an inte…
math.AG2023
Quantum D-modules of toric varieties and oscillatory integrals
Hiroshi Iritani
We review mirror symmetry for the quantum cohomology D-module of a compact weak-Fano toric manifold. We also discuss the relationship to the GKZ system, the Stanley-Reisner ring, t…