arXiv Machine Learning By Jiayin Sun, Albert Chern

Neural Representation of Minimal Surfaces

Read the original on arXiv Machine Learning →

arXiv:2607. 23437v1 Announce Type: cross Abstract: We propose a neural representation for minimal surfaces.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
Jun 11

Minimal surfaces, Knots, and Neural Networks

arXiv:2605. 26234v2 Announce Type: replace-cross Abstract: A recent conjecture by Joel Fine posits a relationship between the coefficients of the HOMFLY polynomial of a knot $K$ in the 3-sphere $S^3$, and the signed count of minimal surfaces in hyperbolic 4-space $\mathrm{H}^4$ meeting the sphere at infinity at $K$, with prescribed genus and self-intersection number.

By Tancredi Schettini Gherardini, Marco Usula