Independent Loop Invariants for 2+1 Gravity

Abstract

We identify an explicit set of complete and independent Wilson loop invariants for 2+1 gravity on a three-manifold $M=\mathbb{R}\times {\Sigma }^g$, 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 Teichmüller space given in terms of Fenchel-Nielsen coordinates.

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

References in corpus (4)

• Invariants of 2+1 Quantum Gravity
• Loop Representations for 2+1 Gravity on a Torus
• New Loop Representations for 2+1 Gravity
• Loop Variable Inequalities in Gravity and Gauge Theory

Cited by in corpus (5)

• Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
• QUANTUM ASPECTS OF 2+1 GRAVITY
• (2+1) gravity for higher genus in the polygon model
• Group-Theoretical Quantization of 2+1 Geavity in the Metric-Torus Sector
• (2+1)-AdS Gravity on Riemann Surfaces