Branch cut of the complex logarithm, showing the Riemann surface sheets near the negative real axis
The complex logarithm is a multi-valued function: each point in the complex plane has infinitely many logarithms differing by multiples of 2pii. To define a single-valued branch, one introduces a branch cut, typically along the negative real axis. This visualization shows the Riemann surface structure near the branch cut, where the multiple sheets of the logarithm are separated vertically.
Controls: Click and drag to orbit, scroll to zoom.
