Adiabatic limit in Ginzburg-Landau and Seiberg-Witten equations

摘要

We present the concept of an adiabatic limit of Ginzburg-Landau dynamical equations on Double-struck capital R1+2 and Seiberg-Witten equations on four-dimensional symplectic manifolds. We show that the Seiberg-Witten equations can be regarded as a complex version of the Ginzburg-Landau equations.