Fetching the paper…
Reading the bibliography…
Interwiners are the building blocks of spin-network states.
R. J. Glauber, “Coherent and incoherent states of the radiation field,” Phys. Rev. 131
1963
Earlier work this paper cites.
E. C. G. Sudarshan, “Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams,” Phys. Rev. Lett. 10
1963
Earlier work this paper cites.
F. A. Berezin, “Non-wiener continual integrals”, Teor. Mat. Fiz. 6
1971
Earlier work this paper cites.
H. S. M. Coxeter, Regular Polytopes , (3rd edition, 1973), Dover
1973
Earlier work this paper cites.
F. A. Berezin, “Feynman Path Integrals In A Phase Space,” Sov. Phys. Usp. 23
1980
Earlier work this paper cites.
Geometric quantization and multiplicities of group representations
V. Guillemin and S. Sternberg · 1982
Earlier work this paper cites.
John R. Klauder, B. S. Skagerstam, Coherent states: applications in physics and mathematical physics (World Scientific, 1985)
1985
Earlier work this paper cites.
A. M. Perelomov, Generalized Coherent States and Their Applications
1986
Earlier work this paper cites.
U. Pachner, “PL homeomorphic manifolds are equivalent by elementary shellings,” European Journal of Combinatorics 12
1991
Earlier work this paper cites.
P. Gritzmann and V. Klee, On the complexity of some basic problems in computational convexity: II. Volume and mixed volumes, polyhedra: Abstract, Convex and Computational (Boston) (T. Bisztriczky, P. McMullen, R. Schneider, and A. I. Weiss, eds.), Kluwer, 1994, pp. 373-466
1994
Earlier work this paper cites.
C. Rovelli and L. Smolin, “Spin networks and quantum gravity,” Phys. Rev. D 52
1995
Earlier work this paper cites.
C. Rovelli and L. Smolin, “Discreteness of area and volume in quantum gravity,” Nucl. Phys. B 442
1995
Earlier work this paper cites.
M. Kapovich and J. J. Millson, “The symplectic geometry of polygons in Euclidean space,” J. Differential Geom. 44
1996
Earlier work this paper cites.
J. C. Baez, “Spin Network States in Gauge Theory,” Adv. Math. 117
1996
Earlier work this paper cites.
T. Thiemann, “Closed formula for the matrix elements of the volume operator in canonical quantum gravity,” J. Math. Phys. 39
1997
Earlier work this paper cites.
A. Barbieri, “Quantum tetrahedra and simplicial spin networks,” Nucl. Phys. B 518
1998
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, “Quantum theory of geometry. II: Volume operators,” Adv. Theor. Math. Phys. 1
1998
Earlier work this paper cites.
T. Thiemann, “Quantum spin dynamics (QSD),” Class. Quant. Grav. 15
1998
Cited alongside, same era.
J. C. Baez and J. W. Barrett, “The quantum tetrahedron in 3 and 4 dimensions,” Adv. Theor. Math. Phys. 3
1999
Cited alongside, same era.
J. Roberts, “Classical 6j-symbols and the tetrahedron,” Geom. Topol. 3
1999
Cited alongside, same era.
S. A. Major, “Operators for quantized directions,” Class. Quant. Grav. 16
1999
Cited alongside, same era.
B. Büeler and A. Enge and K. Fukuda, “Exact volume computation for polytopes: A practical study.”, Polytopes - Combinatorics and Computation, DMV-Seminars vol. 29., Birkhäuser Verlag, Basel 2000, pp. 131–154
2000
Cited alongside, same era.
F. Conrady and L. Freidel, “Quantum geometry from phase space reduction,” J. Math. Phys. 50
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
E. Bianchi, E. Magliaro and C. Perini, “LQG propagator from the new spin foams,” Nucl. Phys. B 822
2009
Later among the works it cites.
E. Bianchi, “The length operator in Loop Quantum Gravity,” Nucl. Phys. B 807
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Godsil, C. and Royle, G. (2001). Algebraic Graph Theory. Springer Verlag
2001
Cited alongside, same era.
M. Kapovich and J. Millson, “Quantization of bending deformations of polygons in E3 , hypergeometric integrals and the Gassner representation,” Canad. Math. Bull., Vol. 44, (2001) p. 36-60
2001
Cited alongside, same era.
B.C. Hall, “Geometric quantization and the generalized SegalBargmann transclass for Lie groups of compact type,” Comm. Math. Phys. 226
2002
Cited alongside, same era.
A. D. Alexandrov, Convex Polyhedra, Springer (2005)
2005
Cited alongside, same era.
C. Rovelli and S. Speziale, “A semiclassical tetrahedron,” Class. Quant. Grav. 23
2006
Cited alongside, same era.
K. Giesel and T. Thiemann, “Consistency check on volume and triad operator quantisation in loop quantum gravity. I,” Class. Quant. Grav. 23
2006
Cited alongside, same era.
E. R. Livine and S. Speziale, “A new spinfoam vertex for quantum gravity,” Phys. Rev. D 76
2007
Cited alongside, same era.
2009
Later among the works it cites.
2010
Closest in time.
C. Rovelli and S. Speziale, “On the geometry of loop quantum gravity on a graph,” Phys. Rev. D82
2010
Closest in time.
2010
Closest in time.
2010
Closest in time.
2010
Closest in time.
E. Bianchi, C. Rovelli and F. Vidotto, “Towards Spinfoam Cosmology,” Phys. Rev. D82
2010
Closest in time.
E. Bianchi, E. Magliaro and C. Perini, “Coherent spin-networks,” Phys. Rev. D82
2010
Closest in time.
2010
Closest in time.
2010
Closest in time.
T. Thiemann, “Gauge field theory coherent states (GCS). I: General properties,” Class. Quant. Grav. 18
2063
Closest in time.