3 problems

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Conjecture on the Euclidean relative sigma-constant of the solid torus
Let $T$ be a solid torus, i.e., a handlebody with one handle. Define … where the supremum is taken over all smooth, bounded domains $\Omega\subset\mathbb{R}^3$ whose closure is dif…
Conjectureopenconformal-geometry solid-tori yamabe-problemarXiv posted 2 days ago
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Freedman–He conjecture on the conformal capacity of solid tori
Freedman–He conjecture. For every solid torus $T\subset\mathbb S^3$ ,
Conjectureopenconformal-capacity conformal-geometry solid-toriarXiv posted 2 days ago
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The minimal layered extension conjecture for solid tori
Minimal layered extension conjecture. The minimal layered extension is the minimal extension.
Conjectureopen3-manifold-topology solid-tori triangulationsarXiv posted 2 days ago

Conjecture on the Euclidean relative sigma-constant of the solid torus