Closure constraints for hyperbolic tetrahedra

E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl.Phys. B311

1988

Earlier work this paper cites.

S. Mizoguchi and T. Tada, “Three-dimensional gravity from the Turaev-Viro invariant,” Phys.Rev.Lett. 68

1992

Earlier work this paper cites.

A. Y. Alekseev, H. Grosse, and V. Schomerus, “Combinatorial quantization of the Hamiltonian Chern-Simons theory,” Commun.Math.Phys. 172

1995

Earlier work this paper cites.

M. Kapovich and J. J. Millson, “The symplectic geometry of polygons in Euclidean space,” Journal of Differential Geometry 44

1996

Earlier work this paper cites.

E. Buffenoir, K. Noui, and P. Roche, “Hamiltonian quantization of Chern-Simons theory with SL(2,C) group,” Class.Quant.Grav. 19

2002

Earlier work this paper cites.

J. A. Rhodes and M. D. Semon, “Relativistic velocity space, Wigner rotation and Thomas precession,” Am.J.Phys. 72

2004

Earlier work this paper cites.

Y. U. Taylor and C. T. Woodward, “6j symbols for U q ​ ( 𝔰 ​ 𝔩 2 ) U_{q}(\mathfrak{s}\mathfrak{l}_{2}) and non-Euclidean tetrahedra,” Selecta Mathematica 11

2005

Earlier work this paper cites.

Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2007

C. Rovelli, Quantum Gravity · 2007

Cited alongside, same era.

Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2007

T. Thiemann, Modern Canonical Quantum General Relativity · 2007

Cited alongside, same era.

C. Meusburger and B. Schroers, “Quaternionic and Poisson-Lie structures in 3d gravity: The Cosmological constant as deformation parameter,” J.Math.Phys. 49

Original

2008

Cited alongside, same era.

L. Freidel and S. Speziale, “Twisted geometries: A geometric parametrisation of SU(2) phase space,” Phys.Rev. D82

Original

2010

Cited alongside, same era.

L. Freidel, K. Krasnov, and E. R. Livine, “Holomorphic Factorization for a Quantum Tetrahedron,” Commun.Math.Phys. 297

Original

2010

M. Dupuis, J. P. Ryan, and S. Speziale, “Discrete gravity models and Loop Quantum Gravity: a short review,” SIGMA 8

Original

2012

Later among the works it cites.

K. Noui, A. Perez, and D. Pranzetti, “Non-commutative holonomies in 2+1 LQG and Kauffman’s brackets,” J.Phys.Conf.Ser. 360

Original

2012

Later among the works it cites.

E. R. Livine and J. Tambornino, “Spinor Representation for Loop Quantum Gravity,” J.Math.Phys. 53

Original

2012

Later among the works it cites.

E. R. Livine and M. Martin-Benito, “Classical Setting and Effective Dynamics for Spinfoam Cosmology,” Class.Quant.Grav. 30

Original

2013

Later among the works it cites.

E. R. Livine, “Deformations of Polyhedra and Polygons by the Unitary Group,” J.Math.Phys. 54