On the compactness problem for a family of generalized Seiberg-Witten equations in dimension three
Differential Geometry
2022-02-02 v2
Abstract
We prove an abstract compactness theorem for a family of generalized Seiberg-Witten equations in dimension three. This result recovers Taubes' compactness theorem for stable flat -connections as well as the compactness theorem for Seiberg-Witten equations with multiple spinors. Furthermore, this result implies a compactness theorem for the ADHM Seiberg-Witten equation, which partially verifies a conjecture by Doan and Walpuski.
Keywords
Cite
@article{arxiv.1904.03749,
title = {On the compactness problem for a family of generalized Seiberg-Witten equations in dimension three},
author = {Thomas Walpuski and Boyu Zhang},
journal= {arXiv preprint arXiv:1904.03749},
year = {2022}
}
Comments
accepted for publication in Duke Mathematical Journal