Very roughly, take $f$ the Levi polynomial on the real hyperquadric $\mathfrak{Im}z_1 = |z_2|^2$. Then by an lft take the rhq over to the unit sphere in $\mathbb C^2$. $SU(2)$ acts here by holom transfs. Consider the one-param sgp generated by the Pauli matrix $\sigma_1$ and convolve $f^{-1/2}$ with it, choosing the branch of the logarithm giving arguments in $(-\pi,\pi]$.
Jesus is the real part of the resulting function along a slice.
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Wot ees dat?
Very roughly, take $f$ the Levi polynomial on the real hyperquadric $\mathfrak{Im}z_1 = |z_2|^2$. Then by an lft take the rhq over to the unit sphere in $\mathbb C^2$. $SU(2)$ acts here by holom transfs. Consider the one-param sgp generated by the Pauli matrix $\sigma_1$ and convolve $f^{-1/2}$ with it, choosing the branch of the logarithm giving arguments in $(-\pi,\pi]$.
Jesus is the real part of the resulting function along a slice.
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