Independent Loop Invariants for 2+1 Gravity
R. Loll
Abstract
We identify an explicit set of complete and independent Wilson loop invariants for 2+1 gravity on a three-manifold M=×Σg, with Σg 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 Teichmüller space given in terms of Fenchel-Nielsen coordinates.
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