24 citations · 98 across the 20 of their papers we have counts for
20 papers
Yang-Yang functions, Monodromy and knot polynomials
Peng Liu, Wei-Dong Ruan
We derive a structure of -module bundle from a family of Yang-Yang functions. For the fundamental representation of the complex simple Lie algebra of classica…
Convergence of Calabi-Yau manifolds
Wei-Dong Ruan, Yuguang Zhang
In this paper, we study the convergence of Calabi-Yau manifolds under Kähler degeneration to orbifold singularities and complex degeneration to canonical singularities (including t…
Bounding sectional curvature along a Kähler-Ricci flow
Wei-Dong Ruan, Yuguang Zhang, Zhenlei Zhang
If a normalized Kähler-Ricci flow on a compact Kähler -manifold, , of positive first Chern class satisfies and has c…
The Fukaya category of symplectic neighborhood of a non-Hausdorff manifold
Wei-Dong Ruan
In this paper, using similar idea as in Fukaya-Oh's work ([9]), we devise a method to compute the Fukaya category of certain exact symplectic manifolds by reducing it to the corres…
Exponential sums, peak sections, and an alternative version of Donaldson's theorems
Wei-Dong Ruan
In this paper, we provide an alternative proof of Donaldson's almost-holomorphic section theorem and symplectic Lefschetz pencil theorem, through constructions of certain special k…
Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces II: Technical results on gradient flow construction
Wei-Dong Ruan
This paper provides the technical details of gradient flow construction and related problems, which are essential for our construction of Lagrangian torus fibrations for Calabi-Yau…