53 citations · 135 across the 23 of their papers we have counts for
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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…
Attaching faces of positive scalar curvature manifolds with corners
Alessandro Carlotto, Chao Li
We prove a novel desingularization theorem, that allows to smoothly attach two given manifolds with corners by suitably gluing a pair of isometric faces, with control on both the s…
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
Alessandro Carlotto, Chao Li
We study notions of isotopy and concordance for Riemannian metrics on manifolds with boundary and, in particular, we introduce two variants of the concept of minimal concordance, t…
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…