Abstract
We determine the iterative solution, on the complex plane, of the µ-holomorphy equation. Then we obtain the µ-holomorphic projective connection as a Neumann series in powers of the Beltrami differential µ. Since it has been shown that the Polyakov action of a conformal model with a central charge k is expressed in terms of the µ-holomorphic projective connection, we then prove the Polyakov conjecture.
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