English

A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three

Differential Geometry 2018-10-05 v4

Abstract

We prove that a sequence of solutions of the Seiberg-Witten equation with multiple spinors in dimension three can degenerate only by converging (after rescaling) to a Fueter section of a bundle of moduli spaces of ASD instantons.

Cite

@article{arxiv.1406.5683,
  title  = {A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three},
  author = {Andriy Haydys and Thomas Walpuski},
  journal= {arXiv preprint arXiv:1406.5683},
  year   = {2018}
}

Comments

v4: This version corrects a mistake in Proposition A.1 pointed out to us by Aleksander Doan

R2 v1 2026-06-22T04:44:10.655Z