2 papers
math.AG2022
Mirror symmetry and Hitchin systems on DM curves: SYZ Duality
Yonghong Huang
We generalize the classical theory of Higgs bundles, spectral curves and Norm maps to Deligne-Mumford curves. As an application, under some mild conditions, we prove the Strominger…
math.DG2018
Non-Embedding Theorems of Nilpotent Lie groups and Sub-Riemannian Manifolds
Yonghong Huang, Shanzhong Sun
We prove that there do not exist quasi-isometric embeddings of connected nonabelian nilpotent Lie groups equipped with left invariant Riemannian metrics into a metric measure space…