Work

Integral curvature estimates and geodesic limits for stable abelian Higgs fields

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.21893

Authors: Badran, Marco, Guaraco, Marco A. M., Halavati, Aria

Institutions: Imperial College London, Bocconi University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213874745

Cites: 2

Cited by: 1

Related to: 10