Independent Loop Invariants for 2+1 Gravity

Details Independent Loop Invariants for 2+1 Gravity Independent Loop Invariants for 2+1 Gravity

1994-08-03

arxiv.org/abs/gr-qc/9408007v1

Class.Quant.Grav.12:1655-1662,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11pp, 2 figures (postscript, compressed and uu-encoded), TeX, Pennsylvania State University, CGPG-94/7-1

Scientific paper

10.1088/0264-9381/12/7/008

We identify an explicit set of complete and independent Wilson loop
invariants for 2+1 gravity on a three-manifold $M=\R\times\Sigma^g$, with
$\Sigma^g$ a compact oriented Riemann surface of arbitrary genus $g$. In the
derivation we make use of a global cross section of the $PSU(1,1)$-principal
bundle over Teichm\"uller space given in terms of Fenchel-Nielsen coordinates.

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