538 citations · 1.7k across the 53 of their papers we have counts for
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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…