61 citations · 438 across the 47 of their papers we have counts for
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On Semi-Classical States of Quantum Gravity and Noncommutative Geometry
Johannes Aastrup, Jesper M. Grimstrup, Mario Paschke +1
We construct normalizable, semi-classical states for the previously proposed model of quantum gravity which is formulated as a spectral triple over holonomy loops. The semi-classic…
Formality for algebroid stacks
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
We extend the formality theorem of M. Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes.
Holonomy Loops, Spectral Triples & Quantum Gravity
Johannes Aastrup, Jesper M. Grimstrup, Ryszard Nest
We review the motivation, construction and physical interpretation of a semi-finite spectral triple obtained through a rearrangement of central elements of loop quantum gravity. Th…
Equivariant Poincaré duality for quantum group actions
Ryszard Nest, Christian Voigt
We extend the notion of Poincaré duality in KK-theory to the setting of quantum group actions. An important ingredient in our approach is the replacement of ordinary tensor product…