Hi, I have the following question.
Reading about Seiberg-Witten theory one comes to realize that the (a,aD) are given by the quantities
ωA=∮Aλ and ωB=∮Bλrespectively. Ok, although I am not sure about what the physical motivation is, what I want to ask is why if our curve is, for example y=√(x−x1)(x−x2)(x−x3), this one form λis defined as dxy.
More generally, why the cycles of the torus are defined like this. It certainly looks like a contour integral but I would like to ask a mathematical motivation for their specific form and maybe where to read about it explicitly.
Thanks a lot!