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- W4378718395 abstract "We investigate the following optimization problem: what is the least possible conformal capacity of a pair of linked curves in $S^3$? A natural conjecture, due to Gehring, Martin and Palka, is that the optimal value is attained by the standard Hopf link. We prove that this is the case under the assumption that each component of the link lies on a different side of a conformal image of the Clifford torus. In particular, this shows that the Hopf link is a local minimizer in a strong sense." @default.
- W4378718395 created "2023-05-30" @default.
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- W4378718395 date "2023-05-26" @default.
- W4378718395 modified "2023-09-27" @default.
- W4378718395 title "On the optimal conformal capacity of linked curves" @default.
- W4378718395 doi "https://doi.org/10.48550/arxiv.2305.17015" @default.
- W4378718395 hasPublicationYear "2023" @default.
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