All Questions

I am trying to understand Taubes' paper on SW$\Rightarrow$ Gr. I don't understand how either of the equations 2.16 or 2.17 appears, I would be happy to understand how the curvature term $F_a$ appears ...

I am reading Taubes' paper on SW$\Rightarrow$ Gr and lost in some analysis, can anyone help me to see how to get equation 2.19 from equation 2.18? Is this some version of Kato for the Laplacian?

The Seiberg-Witten equations on a closed four manifold $$ D_A \varphi = 0, F_A^+ = \mu(\varphi) $$ are elliptic (up to gauge transformations), and so the equations $$ D_A \varphi = 0, F_A^+ = -\mu(\...

I am trying to understand the dimensional reduction of Seiberg-Witten equations from dimension $4$ to $3$, more specifically my concern is about ellipticity of the new equations in dimension $3$ under ...