538 citations · 1.7k across the 53 of their papers we have counts for
56 papers
Castelnuovo bound and higher genus Gromov-Witten invariants of quintic 3-folds
Zhiyu Liu, Yongbin Ruan
We prove a conjectural vanishing result for Gopakumar--Vafa invariants of quintic 3-folds, referred to as Castelnuovo bound in the literature. Furthermore, we calculate Gopakumar--…
Mirror of Orbifold Singularities in the Hitchin Fibration: the case
Yongbin Ruan, Cheng Shu
We study the geometry of singular -Hitchin fibres over the elliptic locus. We show that orbifold singularities appear in the -moduli space $M^{ell}(\text…
Mirror symmetry for special nilpotent orbit closures
Baohua Fu, Yongbin Ruan, Yaoxiong Wen
Motivated by geometric Langlands, we initiate a program to study the mirror symmetry between nilpotent orbit closures of a semisimple Lie algebra and those of its Langlands dual. T…
Punctured logarithmic R-maps
Qile Chen, Felix Janda, Yongbin Ruan
In this paper, we develop the theory of punctured R-maps as a crucial component of logarithmic gauged linear sigma models (log GLSM). A punctured R-map is a punctured map in the se…
Quantum -theory of toric varieties, level structures, and 3d mirror symmetry
Yongbin Ruan, Yaoxiong Wen, Zijun Zhou
We introduce a new version of 3d mirror symmetry for toric stacks, inspired by a 3d abelian mirror symmetry construction in physics. Given some toric data, we int…
Genus Two Quasi-Siegel Modular Forms and Gromov-Witten Theory of Toric Calabi-Yau Threefolds
Yongbin Ruan, Yingchun Zhang, Jie Zhou
We first develop theories of differential rings of quasi-Siegel modular and quasi-Siegel Jacobi forms for genus two. Then we apply them to the Eynard-Orantin topological recursion…