2+1 gravity for genus >1
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Nelson and Regge have constructed a small but complete (actually overcomplete) set of holonomies on a surface of arbitrary genus that form a closed algebra.
“However, Nelson and Regge have succeeded in constructing a small but complete (actually overcomplete) set of holonomies on a surface of arbitrary genus that form a closed algebra [213, 212]”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [212]
Cites
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562 · see citing works
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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
- Nelson, J. E., & Regge, T.
- Affiliations
- University of Turin (IT)
- ORCID
- Nelson, J. E.
- Venue
- Communications in Mathematical Physics
- Published
- 1991-10
- Volume
- 141
- Issue
- 1
- Pages
- 211-223
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2020108954
- Cited by
- 43
- References
- 1
- Citations by year
- 2024: 1 · 2016: 1 · 2013: 3 · 2012: 1
- FWCI
- 1.93
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Institutional Research Information System University of Turin (University of Turin) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Keywords
- three-dimensional gravity, de Sitter gravity, algebra of observables, mapping class group, canonical transformations, braid groups, quantum gravity
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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