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The definition of the Ponzano-Regge state-sum model of three-dimensional quantum gravity with a class of local observables is developed.
J-R. Derome; W.T. Sharp. Racah algebra for an arbitrary group. J. Mathematical Phys. 6 1965 1584–1590
1965
Earlier work this paper cites.
G. Ponzano; T. Regge, Semiclassical limit of Racah coefficients, p1-58, in: Spectroscopic and group theoretical methods in physics, ed. F. Bloch, North-Holland Publ. Co., Amsterdam, 1968
1968
Earlier work this paper cites.
R. Penrose, Angular momentum: an approach to combinatorial spacetime, in ‘Quantum theory and beyond’, ed. E.T. Bastin, CUP 1970
1970
Earlier work this paper cites.
M.A. Armstrong, Basic Topology, Maidenhead: McGraw-Hill 1979
1979
Earlier work this paper cites.
C. Rourke; B. Sanderson, Introduction to piecewise-linear topology, Springer-Verlag, Berlin, 1982
1982
Earlier work this paper cites.
J. Moussouris, Quantum models of space-time based on recoupling theory, D. Phil thesis, St. Cross College, Oxford, 1983
1983
Earlier work this paper cites.
E. Witten, 2 + 1 2+1 -dimensional gravity as an exactly soluble system, Nuclear Phys. B 311 (1988/89) 46-78
1988
Earlier work this paper cites.
E. Witten, Topology-changing amplitudes in ( 2 + 1 ) (2+1) -dimensional gravity, Nuclear Phys. B 323 (1989) 113-40
1989
Earlier work this paper cites.
L. Kauffman, Spin networks and knot polynomials, Int. J. Mod. Phys. A Vol. 5 Issue 1 (1990) 93-115
1990
Earlier work this paper cites.
F. Archer; R. M. Williams, The Turaev-Viro state sum model and three-dimensional quantum gravity, Phys. Lett. B 273 (1991), 438-444
1991
Earlier work this paper cites.
H. Ooguri; N. Sasakura, Discrete and continuum approaches to three-dimensional quantum gravity, Mod. Phys. Lett. A6 (1991) 3591-3600
1991
Earlier work this paper cites.
N. Tanimura; O. Tanimura. Sum rules for SU ( 2 ) {\rm SU}(2) Racah coefficient from group integral. J. Math. Phys. Vol 32, (1991) 2435–2441
1991
Earlier work this paper cites.
V. Turaev; O. Viro, State sum invariants of 3 3 -manifolds and quantum 6j-symbols, Topology 31 No.4 (1992) 865-902
1992
Earlier work this paper cites.
D. Boulatov, A model of three-dimensional lattice gravity, Mod. Phys. Lett. A7 (1992) 1629-1646
1992
Earlier work this paper cites.
H. Ooguri, Partition functions and topology changing amplitudes in the 3-D lattice gravity of Ponzano and Regge, Nucl. Phys. B382 (1992) 276-304, hep-th/9112072
1992
Earlier work this paper cites.
V. Turaev, Quantum invariants of links and 3 3 -valent graphs in 3 3 -manifolds, Inst. Hautes Études Sci. Publ. Math. No. 77 (1993), 121-171
1993
Cited alongside, same era.
M. Karowski; R. Schrader, A combinatorial approach to topological quantum field theories and invariants of graphs, Comm. Math. Phys. 151 No. 2 (1993) 355-402
1993
Cited alongside, same era.
C. Hog-Angeloni; W. Metzler; A. Sieradski, Two-dimensional homotopy and combinatorial group theory, L.M.S. Lecture note series, 197, CUP, 1993
1993
Cited alongside, same era.
J.W. Barrett; T. Foxon, Semi-classical limits of simplicial quantum gravity, Class. Quant. Grav. 11 (1994) 543-556
1994
Cited alongside, same era.
L. Kauffman; S. Lins, Temperley-Lieb recoupling theory and invariants of 3 3 -manifolds, Annals of mathematics studies No. 134, Princeton University Press 1994
1994
J.W. Barrett, Geometrical measurements in three-dimensional quantum gravity, Int. J. Mod. Phys. A18S2 (2003) 97-113
2003
Later among the works it cites.
L. Freidel; D. Louapre, Diffeomorphisms and spin foam models. Nucl.Phys.B662:279-298 (2003)
2003
Later among the works it cites.
L. Freidel; D. Louapre, Asymptotics of 6j and 10j symbols, Class. Quantum Grav. 20 (2003) 1267-1294
2003
Later among the works it cites.
M. Muger. From subfactors to categories and topology II: The quantum double of tensor categories and subfactors, J. Pure App. Alg., Vol 180, (2003) 159-219(61)
2003
Later among the works it cites.
M. Braverman, New proof of the Cheeger-Müller theorem, Ann. Global Anal. Geom. 23 No. 1 (2003) 77-92
2003
Later among the works it cites.
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Cited alongside, same era.
1994
Cited alongside, same era.
J. Roberts, Skein theory and Turaev-Viro invariants, Topology, Vol. 34 No. 4 (1995) 771-787
1995
Cited alongside, same era.
J.W. Barrett; B.W. Westbury. The equality of 3 3 -manifold invariants. Math. Proc. Cambridge Philos. Soc. 118 (1995), no. 3, 503–510
1995
Cited alongside, same era.
J.W. Barrett; B.W. Westbury, Invariants of piecewise linear 3 3 -manifolds, Trans. Am. Math. Soc. Vol. 348 (1996) 3997-4022
1996
Cited alongside, same era.
F.A. Bais; N.M. Muller, Topological field theory and the quantum double of SU(2). Nucl.Phys. B530 (1998) 349-400
1998
Cited alongside, same era.
Noboru Kawamoto, Holger Bech Nielsen, Noriaki Sato. Lattice Chern-Simons gravity via Ponzano-Regge model, Nucl. Phys. B555 (1999) 629-649, hep-th/9902165
1999
Cited alongside, same era.
S.A. Major, A spin network primer, Am. J. Phys. 67 (1999) 972-980, gr-qc/9905020
1999
Cited alongside, same era.
L.I. Nicolaescu, The Reidemeister Torsion of 3-Manifolds, de Gruyter Studies in Mathematics 30, Walter de Gruyter & Co., Berlin (2003). Also available as: Notes on the Reidemeister Torsion http://www.nd.edu/~lnicolae/Torsion.pdf
2003
Later among the works it cites.
L. Freidel; D. Louapre, Ponzano-Regge model revisited I: Gauge fixing, observables and interacting spinning particles, Class. Quantum Grav. 21 (2004) 5685-5726
2004
Later among the works it cites.
J.W. Barrett, Feynman loops and three-dimensional quantum gravity, Mod. Phys. Lett. A20 (2005) 1271
2005
Later among the works it cites.
J. Dubois, Non abelian Reidemeister torsion and volume form on the SU ( 2 ) {\rm SU}(2) -representation space of knot groups. Ann. Inst. Fourier (Grenoble) 55 (2005), no. 5, 1685–1734
2005
Later among the works it cites.
S. Gukov, Three-dimensional quantum gravity, Chern-Simons theory, and the A-polynomial, Comm. Math. Phys. 255 No. 3 (2005) 577-627
2005
Later among the works it cites.
J. Dubois, Non-abelian twisted Reidemeister torsion for fibered knots, Canadian Mathematical Bulletin, 49 No.1 (2006) 55-71
2006
Later among the works it cites.
J.W. Barrett; J. Garcia-Islas; J. Faria Martins, Observables in the Turaev-Viro and Crane-Yetter models, J.Math.Phys.48:093508, (2007). arXiv:math.QA/0411281
2007
Later among the works it cites.
J.W. Barrett; I. Naish-Guzman, The Ponzano-Regge model and Reidemeister torsion, arXiv:gr-qc/0612170. Proceedings of the Eleventh Marcel Grossmann Meeting on General Relativity, edited by H. Kleinert, R.T. Jantzen and R. Ruffini, World Scientific, Singapore, (2008)
2008
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L. Freidel; E. Livine, Ponzano-Regge model revisited III: Feynman diagrams and effective field theory, Class. Quantum Grav. 23 (2006) 2021-2061
2061
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