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math.DG2024
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…
math.DG2024
Index growth not imputable to topology
Alessandro Carlotto, Mario B. Schulz, David Wiygul
We employ partitioning methods, in the spirit of Montiel--Ros but here recast for general actions of compact Lie groups, to prove effective lower bounds on the Morse index of certa…