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math.DG2023
Disc stackings and their Morse index
Alessandro Carlotto, Mario B. Schulz, David Wiygul
We construct free boundary minimal disc stackings, with any number of strata, in the three-dimensional Euclidean unit ball, and prove uniform, linear lower and upper bounds on the…
math.DG2023
New low-genus desingularizations of three Clifford tori and related characterizations
Nikolaos Kapouleas, David Wiygul
For each nonnegative integer we construct in the round three-sphere a closed embedded minimal surface of genus which can be interpreted as a desingularization of the u…
math.DG2023
Spectral estimates for free boundary minimal surfaces via Montiel-Ros partitioning methods
Alessandro Carlotto, Mario B. Schulz, David Wiygul
We adapt and extend the Montiel-Ros methodology to compact manifolds with boundary, allowing for mixed (including oblique) boundary conditions and also accounting for the action of…