Taubes equation (source code)

= Taubes equation
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{wiki}

For $u=\log|\phi|^2$ and zeros of multiplicities $N_r$ at $z_r$, the Taubes equation is
$$
\Delta u+\Omega(1-e^u)=4\pi\sum_rN_r\delta^{(2)}(z-z_r).
$$