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In this paper, we study the discrete classical phase space of loop gravity, which is expressed in terms of the holonomy-flux variables, and show how it is related to the continuous phase space of general relativity.
T. Regge, General relativity without coordinates,
1961
Earlier work this paper cites.
C. Rourke and B. Sanderson, Introduction to piecewise-linear topology,
1972
Earlier work this paper cites.
J. Marsden and A. Weinstein, Reduction of symplectic manifolds with symmetry,
1974
Earlier work this paper cites.
A. Weinstein, The local structure of Poisson manifolds,
1983
Earlier work this paper cites.
M. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces,
1983
Earlier work this paper cites.
N. Hitchin, The self-duality equations on a Riemann surface,
1987
Earlier work this paper cites.
V. I. Arnold, Mathematical Methods of Classical Mechanics,
1989
Earlier work this paper cites.
A. Y. Alekseev and A. Z. Malkin, Symplectic structures associated to Lie-Poisson groups,
1994
Earlier work this paper cites.
J. F. Barbero, Real Ashtekar variables for Lorentzian signature space-times,
1995
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Projective techniques and functional integration for gauge theories,
1995
Earlier work this paper cites.
J. Fuchs and C. Schweigert, Symmetries, Lie algebras and representations: A graduate course for physicists,
1997
Earlier work this paper cites.
A. Ashtekar, A. Corichi and J. A. Zapata, Quantum theory of geometry III: Noncommutativity of Riemannian structures,
1998
Cited alongside, same era.
P. A. M. Dirac, Lectures on Quantum Mechanics,
2001
Cited alongside, same era.
T. Thiemann, Quantum spin dynamics (QSD) : VII. Symplectic structures and continuum lattice formulations of gauge field theories,
2001
Cited alongside, same era.
H. Sahlmann and T. Thiemann, On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories,
2003
Cited alongside, same era.
C. Rovelli, Loop Quantum Gravity,
2004
Cited alongside, same era.
A. Ashtekar and J. Lewandowski, Background independent quantum gravity: a status report,
2004
L. Freidel and S. Speziale, Twisted geometries: A geometric parametrisation of SU(2) phase space,
2010
Later among the works it cites.
C. Rovelli and S. Speziale, Geometry of loop quantum gravity on a graph,
2010
Later among the works it cites.
L. Freidel, K. Krasnov and E. R. Livine, Holomorphic factorization for a quantum tetrahedron,
2010
Later among the works it cites.
E. Bianchi, E. Magliaro and C. Perini, Coherent spin-networks,
2010
Later among the works it cites.
J. C. Baez and J. Huerta, An invitation to higher gauge theory,
2010
Later among the works it cites.
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Cited alongside, same era.
J. Butterfield, On symplectic reduction in classical mechanics,
2006
Cited alongside, same era.
J. Lewandowski, A. Okolow, H. Sahlmann and T. Thiemann, Uniqueness of diffeomorphism invariant states on holonomy-flux algebras,
2006
Cited alongside, same era.
T. Thiemann, Introduction to Modern Canonical Quantum General Relativity,
2007
Cited alongside, same era.
E. Bianchi, Loop quantum gravity à la Aharonov-Bohm,
2009
Cited alongside, same era.
2010
Later among the works it cites.
C. Rovelli, Zakopane lectures on loop gravity,
2011
Closest in time.
B. Dittrich and J. P. Ryan, Phase space descriptions for simplicial 4d geometries,
2011
Closest in time.