发表机构
Bocconi University; Imperial College London（博科尼大学; 帝国理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明闭三维流形上稳定阿贝尔希格斯临界点序列的极限界面为有限条光滑闭浸入测地线，基于差异积分界推导弥散曲率积分估计。
AI 中文摘要
我们证明，在闭三维流形上，具有一致有界能量的稳定阿贝尔希格斯临界点序列的极限界面是有限个光滑闭浸入测地线的并集，可能带有重数及自交点。这源于对弥散曲率的积分估计，该估计由对差异的积分界推导得出。
英文摘要
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.
Comments28 pages. 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
