preprint

Inserted: 21 sep 2026
Last Updated: 21 sep 2026

Year: 2026

This proof was generated by ChatGPT Astra 6 via a series of interactions with the authors. The authors reworked, checked and rewrote the proof. All comments are welcome.

Abstract:

We prove that, on closed three-manifolds, the limit interface of a sequence of stable abelian Higgs critical points with uniformly bounded energy is a finite union of smooth closed immersed geodesics, possibly with multiplicity and self-intersections. This follows from an integral estimate for the diffuse curvature, derived from an integral bound on the discrepancy.

Tags: ANGEVA