4 citations · 5 across the 6 of their papers we have counts for
6 papers
Minimal surfaces, Knots, and Neural Networks
Tancredi Schettini Gherardini, Marco Usula
A recent conjecture by Joel Fine posits a relationship between the coefficients of the HOMFLY polynomial of a knot in the 3-sphere , and the signed count of minimal surfac…
Nahm Poles and 0-Instantons
Marco Usula
We study self-dual 0-connections, or 0-instantons, on asymptotically hyperbolic 4-manifolds. These connections develop a uniform singularity along the conformal infinity, and are a…
Isometric Embeddings of Conformally Compact Manifolds into Hyperbolic Spaces
Marco Usula
The celebrated Nash Embedding Theorem asserts that every closed Riemannian manifold can be isometrically embedded into a sufficiently high-dimensional Euclidean space. In this pape…
Biharmonic Maps Between Conformally Compact Manifolds
Marco Usula
We study biharmonic maps between conformally compact manifolds, a large class of complete manifolds with bounded geometry, asymptotically negative curvature, and smooth compactific…
Boundary value problems for 0-elliptic operators
Marco Usula
Let be a manifold with boundary, and let be a 0-elliptic operator on X which is semi-Fredholm essentially surjective with infinite-dimensional kernel. Examples include Hodg…
Yang-Mills Connections on Conformally Compact Manifolds
Marco Usula
We study the moduli space of Yang--Mills connections on bundles over a conformally compact manifold . We prove that, for every Yang--Mills connection that satisfi…