Independent loop invariants for 2 + 1 gravity
Open accessAbstract
We identify an explicit set of complete and independent Wilson loop invariants for 2+1 gravity on a 3-manifold , with 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. This result can be used to construct quantum loop representations for higher-genus surfaces.
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Loll has found a complete set of configuration space variables.
“and Loll has found a complete set of “configuration space” variables [178].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [178]
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- Loll R 1993 Loop variable inequalities in gravity and gauge theory Closs. Quantum Crav. 10 1471-6 memorial volume for M K Polivanov) 291 59&628 Hiroshima Math 3. 22 259-71 theory Class. Quantum Craw. 6 L185-93 Theory (Pmc. 12th Johns Hopkins Wrkrhop) World Scientific) Springer)
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Loll, R.
- Affiliations
- Pennsylvania State University (US)
- Corresponding author
- Loll, R
- ORCID
- Loll, R
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1995-07-01
- Volume
- 12
- Issue
- 7
- Pages
- 1655-1662
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2145851933
- Cited by
- 6
- References
- 0
- Citations by year
- 2020: 1
- FWCI
- 1.15
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- three-dimensional gravity, loop invariants, Teichmüller space, Fenchel-Nielsen coordinates, higher genus Riemann surfaces, 3-manifolds
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