Abstract
We prove an abstract compactness theorem for a family of generalized Seiberg–Witten equations in dimension 3. This result recovers Taubes’s compactness theorem for stable flat PSL2.C/-connections as well as the compactness theorem for Seiberg–Witten equations with multiple spinors by Haydys and Walpuski. Furthermore, this result implies a compactness theorem for the ADHM1;2 Seiberg–Witten equation, which partially verifies a conjecture by Doan and Walpuski.
Original language | English (US) |
---|---|
Pages (from-to) | 3891-3934 |
Number of pages | 44 |
Journal | Duke Mathematical Journal |
Volume | 170 |
Issue number | 17 |
DOIs | |
State | Published - Nov 15 2021 |
All Science Journal Classification (ASJC) codes
- General Mathematics