PINNs approximate near-minimal surfaces bounding knots in S^3; their self-intersection numbers align with Fine's conjecture predictions derived from the HOMFLY polynomial.
Learning Size and Shape of Calabi– Yau Spaces
4 Pith papers cite this work. Polarity classification is still indexing.
years
2026 4verdicts
UNVERDICTED 4representative citing papers
Global invariant neural models for Kähler potentials outperform local baselines on geometric diagnostics for hard Calabi-Yau hypersurfaces.
Approximate analytic Ricci-flat metrics on a one-parameter bi-cubic Calabi-Yau family with explicit moduli dependence obtained via symbolic regression on numerical data, achieving percent-level agreement.
Explicit 11D solutions show flux stabilization of T^4/Z2 moduli in EFT does not match the full theory, with non-Lorentz-invariant deformations stabilizing a mix of volume and shape moduli instead.
citing papers explorer
-
Minimal surfaces, Knots, and Neural Networks
PINNs approximate near-minimal surfaces bounding knots in S^3; their self-intersection numbers align with Fine's conjecture predictions derived from the HOMFLY polynomial.
-
GlobalCY I: A JAX Framework for Globally Defined and Symmetry-Aware Neural K\"ahler Potentials
Global invariant neural models for Kähler potentials outperform local baselines on geometric diagnostics for hard Calabi-Yau hypersurfaces.
-
Calabi-Yau Metrics with Full Moduli Dependence
Approximate analytic Ricci-flat metrics on a one-parameter bi-cubic Calabi-Yau family with explicit moduli dependence obtained via symbolic regression on numerical data, achieving percent-level agreement.
-
Lost in Translation: Moduli Stabilization from EFT to Eleven Dimensions
Explicit 11D solutions show flux stabilization of T^4/Z2 moduli in EFT does not match the full theory, with non-Lorentz-invariant deformations stabilizing a mix of volume and shape moduli instead.