3 papers
math.DG2026
Min-max theory and minimal surfaces with prescribed genus
Adrian Chun-Pong Chu, Yangyang Li, Zhihan Wang
We establish a general min-max type theorem that produces minimal surfaces with prescribed genus in 3-manifolds with positive Ricci curvature. An important intermediate step is to…
math.DG2026
An enumerative min-max theorem for minimal surfaces
Adrian Chun-Pong Chu, Yangyang Li, Zhihan Wang
We prove an enumerative min-max theorem that relates the number of genus g minimal surfaces in 3-manifolds of positive Ricci curvature to topological properties of the set of embed…
math.DG2025
Non-persistence of strongly isolated singularities, and geometric applications
Alessandro Carlotto, Yangyang Li, Zhihan Wang
We obtain a generic regularity result for stationary integral -varifolds with only strongly isolated singularities inside -dimensional Riemannian manifolds, in absence of any…