Topology change in ISO(2, 1) Chern-Simons gravity
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If the initial and final surfaces are nondegenerate and spacelike, their topologies are restricted: they must have equal Euler numbers.
“If we demand that the initial and final surfaces be nondegenerate and spacelike, their topologies are severely restricted: Amano and Higuchi have shown that Σi and Σf must have equal Euler numbers [6].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [6]
In 2+1 dimensions, the selection rules imply that such a process can be described in Lorentzian signature only if χ(Σ)=0, that is, only for Σ a torus.
“In 2 + 1 dimensions, the selection rules of [6] imply that such a process can be described in Lorentzian signature only if χ(Σ) = 0, that is, only for Σ a torus.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [6]
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Research works printed but not linked: 4
- [3]3. G. Mess, Institut des Hautes Etudes Scientifiques preprint IHES/M/90/28 (1990)
- [9]9. W. M. Goldman, Geometric structure on manifolds and varieties of representations, in Geometry of group representation, Contemporary Mathematics vol.74, eds. W. M. Goldman and A. R. Magid (American Mathematical Society, Providence, Rhode Island, 1988)
- [10]10. F. Hirzebruch, Topological methods in algebraic geometry (Springer-Verlag, Berlin, 1966)
- [14]14. S. Carlip, University of California, Davis preprint UCD-91-16 (1991)
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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
- Amano, K., & Higuchi, S.
- Affiliations
- Tokyo Institute of Technology (JP)
- Corresponding author
- Higuchi, Saburo
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1992-06
- Volume
- 377
- Issue
- 1-2
- Pages
- 218-235
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2011962349
- Cited by
- 9
- References
- 0
- Citations by year
- 2024: 1 · 2015: 1
- FWCI
- 0.78
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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 › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- topology change, three-dimensional gravity, Euler class, selection rules, transition pathways, higher genus surfaces, spin connection
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