Polyakov conjecture and 2+1 dimensional gravity coupled to particles

Details Polyakov conjecture and 2+1 dimensional gravity coupled to particles Polyakov conjecture and 2+1 dimensional gravity coupled to particles

2001-11-22

arxiv.org/abs/hep-th/0111202v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk by P. Menotti at Int. Europhysics Conference on High Energy Physics, Budapest 12-18 July 2001, 5 pages latex

Scientific paper

A proof is given of Polyakov conjecture about the auxiliary parameters of the
SU(1,1) Riemann-Hilbert problem for general elliptic singularities. Such a
result is related to the uniformization of the the sphere punctured by n
conical defects. Its relevance to the hamiltonian structure of 2+1 dimensional
gravity in the maximally slicing gauge is stressed.

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