Proof of Polyakov conjecture for general elliptic singularities

Abstract

A proof is given of Polyakov conjecture about the accessory parameters of the SU(1,1) Riemann-Hilbert problem for general elliptic singularities on the Riemann sphere. Its relevance to 2+1 dimensional gravity is stressed.

13 pages latex, to appear in Phys. Lett. B

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