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The quantum dynamics of the flat Friedmann-Lemaitre-Robertson-Walker and Bianchi I models defined by loop quantum cosmology have recently been translated into a spinfoam-like formalism.
Knot Theory and Quantum Gravity
Carlo Rovelli and Lee Smolin · 1988
Earlier work this paper cites.
Loop Space Representation of Quantum General Relativity
Carlo Rovelli and Lee Smolin · 1990
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Weaving a classical geometry with quantum threads
Abhay Ashtekar, Carlo Rovelli, and Lee Smolin · 1992
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Spin foam models for quantum gravity
Alejandro Perez · 2003
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Mathematical structure of loop quantum cosmology
Abhay Ashtekar, Martin Bojowald and Jerzy Lewandowski · 2003
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Quantum Gravity
Carlo Rovelli · 2004
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Three dimensional loop quantum gravity: Physical scalar product and spin foam models
Karim Noui and Alejandro Perez · 2005
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Quantum nature of the big bang: Improved dynamics
Abhay Ashtekar, Tomasz Pawlowski and Parampreet Singh · 2006
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Modern Canonical Quantum General Relativity
Thomas Thiemann · 2007
Earlier work this paper cites.
The loop-quantum-gravity vertex-amplitude
Jonathan Engle, Roberto Pereira, and Carlo Rovelli · 2007
Earlier work this paper cites.
A new spinfoam vertex for quantum gravity
Etera R. Livine and Simone Speziale · 2007
Cited alongside, same era.
A New Spin Foam Model for 4d Gravity
Laurent Freidel and Kirill Krasnov · 2008
Cited alongside, same era.
LQG vertex with finite Immirzi parameter
Jonathan Engle, Etera Livine, Roberto Pereira, and Carlo Rovelli · 2008
Cited alongside, same era.
Stepping out of Homogeneity in Loop Quantum Cosmology
Carlo Rovelli and Francesca Vidotto · 2008
Cited alongside, same era.
Robustness of key features of loop quantum cosmology
Abhay Ashtekar, Alejandro Corichi, and Parampreet Singh · 2008
Cited alongside, same era.
Flipped spinfoam vertex and loop gravity
Jonathan Engle, Roberto Pereira, and Carlo Rovelli · 2008
Cited alongside, same era.
Loop Quantum Cosmology and Spin Foams
Abhay Ashtekar, Miguel Campiglia, and Adam Henderson · 2009
Later among the works it cites.
A new look at loop quantum gravity
Carlo Rovelli · 2010
Closest in time.
From covariant to canonical formulations of discrete gravity
Bianca Dittrich and Philipp A. Hohn · 2010
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Triangulated Loop Quantum Cosmology: Bianchi IX and inhomogenous perturbations
Marco Valerio Battisti, Antonino Marciano, and Carlo Rovelli · 2010
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Towards Spinfoam Cosmology
Eugenio Bianchi, Carlo Rovelli, and Francesca Vidotto · 2010
Closest in time.
Casting Loop Quantum Cosmology in the Spin Foam Paradigm
Abhay Ashtekar, Miguel Campiglia, and Adam Henderson · 2010
Closest in time.
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Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation
Jonathan Engle, Muxin Han, and Thomas Thiemann · 2009
Cited alongside, same era.
On the Relation between Rigging Inner Product and Master Constraint Direct Integral Decomposition
Muxin Han and Thomas Thiemann · 2009
Cited alongside, same era.
On the Relation between Operator Constraint –, Master Constraint –, Reduced Phase Space –, and Path Integral Quantisation
Muxin Han and Thomas Thiemann · 2009
Cited alongside, same era.
Loop quantum cosmology of Bianchi I models
Abhay Ashtekar and Edward Wilson-Ewing · 2009
Cited alongside, same era.
Miguel Campiglia, Adam Henderson, and William Nelson · 2010
Closest in time.
On the spinfoam expansion in cosmology
Carlo Rovelli and Francesca Vidotto · 2010
Closest in time.
Path Integrals and the WKB approximation in Loop Quantum Cosmology
Abhay Ashtekar, Miguel Campiglia and Adam Henderson · 2010
Closest in time.