115 citations · 484 across the 9 of their papers we have counts for
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math-ph2007★ 30 cited
On the Configuration Spaces of Homogeneous Loop Quantum Cosmology and Loop Quantum Gravity
Johannes Brunnemann, Christian Fleischhack
The set of homogeneous isotropic connections, as used in loop quantum cosmology, forms a line in the space of all connections . This embedding, however, does not contin…
gr-qc2007★ 54 cited
Properties of the Volume Operator in Loop Quantum Gravity I: Results
Johannes Brunnemann, David Rideout
We analyze the spectral properties of the volume operator of Ashtekar and Lewandowski in Loop Quantum Gravity, which is the quantum analogue of the classical volume expression for…
gr-qc2007★ 34 cited
Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation
Johannes Brunnemann, David Rideout
The properties of the Volume operator in Loop Quantum Gravity, as constructed by Ashtekar and Lewandowski, are analyzed for the first time at generic vertices of valence greater th…