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Polygon model from first-order gravity. (English) Zbl 1062.83067
Summary: The gauge fixed polygon model of $2+1$ gravity with zero cosmological constant and arbitrary number of spinless point particles is reconstructed from the first-order formalism of the theory in terms of the triad and the spin connection. The induced symplectic structure is calculated and shown to agree with the canonical one in terms of the variables.
##### MSC:
 83C80 Analogues of general relativity in lower dimensions 83C10 Equations of motion