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As per organizers' request, my talk at the 11th Marcel Grossmann Conference consisted of two parts.
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A. Ashtekar and C. J. Isham, Representation of the holonomy algebras of gravity and non-Abelian gauge theories, Class. Quant. Grav. 9
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T. Thiemann, QSD V : Quantum gravity as the natural regulator of matter quantum field theories, Class. Quant. Grav. 15
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M. P. Reisenberger and C. Rovelli, ’Sum over surfaces’ form of loop quantum gravity, Phys. Rev. D56
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A. Ashtekar, J. Baez and K. Krasnov, Quantum geometry of isolated horizons and black hole entropy, Adv. Theor. Math. Phys. 4
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M. Bojowald, Absence of singularity in loop quantum cosmology, Phys. Rev. Lett. 86
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C. Rovelli and S. Speziale, Reconcile Planck scale diescreteness and the Lorentz-Fitzgerald contraction, Phys. Rev. D67
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J.F. Barbero G., I. Garay, E.J.S. Villaseñor, Exact quantization of Einstein-Rosen waves coupled to massless scalar matter, Phys. Rev. Lett. 95
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A. Ashtekar and J. Lewandowski, Background independent quantum gravity: A status report, Class. Quant. Grav. 21
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C. Rovelli Quantum Gravity
2004
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D. Green and W. Unruh, Difficulties with recollapsing models in closed isotropic loop quantum cosmology, Phys. Rev. D70
J. Lewandowski, A. Okolow, H. Sahlmann and T. Thiemann, Uniqueness of diffeomorphism invariant states onholonomy flux algebras, Comm. Math. Phys. 267
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A. Ashtekar, T. Pawlowski and P. Singh, Quantum nature of the big bang, Phys. Rev. Lett. 96
2006
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L. Friedel and E.R. Livine, Effective 3-d quantum gravity and non-commutative field theory, Phys. Rev. Lett. 96
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C. Rovelli, Graviton propagator from background-independent quantum gravity, Phys. Rev. Lett. 97
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T. Thiemann, The Phoenix Project: Master Constraint Programme for Loop Quantum Gravity, Class. Quant. Grav. 23
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2004
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A. Perez, Introduction to loop quantum gravity and spin foams, Lectures presented at the II International Conference of Fundamental Interactions, Pedra Azul, Brazil, June 2004, arXiv:gr-qc/0409061
2004
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D. Mattingly, Modern tests of Lorentz invariance, Living Rev. Rel. 8
2004
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A. Okolow, Representations of Quantum Geometry, PhD thesis, University of Warsaw (2005)
2005
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M. Bojowald, Loop quantum cosmology, Liv. Rev. Rel. 8
2005
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K. Giesel and T. Thiemann, Algebraic Quantum Gravity (AQG)I. Conceptual Setup, gr-qc/0607099
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T. Thiemann, Introduction to Modern Canonical Quantum General Relativity
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A. Ashtekar and M. Bojowald, Black hole evaporation: A paradigm, Class. Quant. Grav. 22
2006
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H. Sahlmann and T. Thiemann, Towards the QFT on curved spacetime limit of QGR. I: A general scheme, Class. Quant. Grav. 23
2006
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J. Klauder, Fundamentals of quantum gravity, arXiv:gr-qc/0612168
2006
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K. Vandersloot, On the Hamiltonian constraint of loop quantum cosmology, Phys. Rev. D 71
2006
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L. Freidel, R. G. Leigh and D. Minic, Towards a solution of pure Yang-Mills theory in 3+1 dimensions, Phys. Lett. B641
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