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Zbl 1062.83067
Kádár, Z.
Polygon model from first-order gravity.
(English)
[J] Classical Quantum Gravity 22, No. 5, 809-823 (2005). ISSN 0264-9381; ISSN 1361-6382/e

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 2000:
*83C80 Analogues in lower dimensions
83C10 Equations of motion
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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