25 citations · 130 across the 19 of their papers we have counts for
4 papers · 2 filters
Ramanujan Identities and Quasi-Modularity in Gromov-Witten Theory
Yefeng Shen, Jie Zhou
We prove that the ancestor Gromov-Witten correlation functions of one-dimensional compact Calabi-Yau orbifolds are quasi-modular forms. This includes the pillowcase orbifold which…
Mirror symmetry for exceptional unimodular singularities
Changzheng Li, Si Li, Kyoji Saito +1
In this paper, we prove the mirror symmetry conjecture between the Saito-Givental theory of exceptional unimodular singularities on Landau-Ginzburg B-side and the Fan-Jarvis-Ruan-W…
The modular group for the total ancestor potential of Fermat simple elliptic singularities
Todor Milanov, Yefeng Shen
In a series of papers \cite{KS,MR}, Krawitz, Milanov, Ruan, and Shen have verified the so-called Landau-Ginzburg/Calabi-Yau (LG/CY) correspondence for simple elliptic singularities…
Gromov--Witten theory of Fano orbifold curves, Gamma integral structures and ADE-Toda Hierarchies
Todor Milanov, Yefeng Shen, Hsian-Hua Tseng
We construct an integrable hierarchy in the form of Hirota quadratic equations (HQE) that governs the Gromov--Witten (GW) invariants of the Fano orbifold projective curve $\mathbb{…