3 citations · 3 across the 5 of their papers we have counts for
10 papers
Capillary surfaces: stability, index and curvature estimates
Han Hong, Artur B. Saturnino
In this paper we investigate the connection between the index and the geometry and topology of capillary surfaces. We prove an index estimate for compact capillary surfaces immerse…
Higher dimensional surgery and Steklov eigenvalues
Han Hong
We show that for compact Riemannian manifolds of dimension at least with nonempty boundary, we can modify the manifold by performing surgeries of codimension or higher, whi…
-equivariant disc potentials for toric Calabi-Yau manifolds
Hansol Hong, Yoosik Kim, Siu-Cheong Lau +1
We study the equivariant disc potentials for immersed SYZ fibers in toric Calabi-Yau manifolds. The immersed Lagrangians play a crucial role in the partial compactification of the…
Index Estimates for Surfaces with Constant Mean Curvature in -dimensional Manifolds
Nicolau S. Aiex, Han Hong
We prove index estimates for closed and free boundary CMC surfaces in certain -dimensional submanifolds of some Euclidean space. When the mean curvature is large enough we are a…
Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period
Hansol Hong, Yu-Shen Lin, Jingyu Zhao
We provide an inductive algorithm to compute the bulk-deformed potentials for toric Fano surfaces via wall-crossing techniques and a tropical-holomorphic correspondence theorem for…
Gluing Localized Mirror Functors
Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau
We develop a method of gluing the local mirrors and functors constructed from immersed Lagrangians in the same deformation class. As a result, we obtain a global mirror geometry an…