30 citations · 167 across the 27 of their papers we have counts for
4 papers · 1 filter
Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras
Johannes Aastrup, Ryszard Nest, Elmar Schrohe
We prove an index theorem for boundary value problems in Boutet de Monvel's calculus on a compact manifold X with boundary. The basic tool is the tangent semigroupoid $\cT^-X$ gene…
A new spectral triple over a space of connections
Johannes Aastrup, Jesper M. Grimstrup, Ryszard Nest
A new construction of a semifinite spectral triple on an algebra of holonomy loops is presented. The construction is canonically associated to quantum gravity and is an alternative…
On Spectral Triples in Quantum Gravity II
Johannes Aastrup, Jesper M. Grimstrup, Ryszard Nest
A semifinite spectral triple for an algebra canonically associated to canonical quantum gravity is constructed. The algebra is generated by based loops in a triangulation and its b…
On Spectral Triples in Quantum Gravity I
Johannes Aastrup, Jesper M. Grimstrup, Ryszard Nest
This paper establishes a link between Noncommutative Geometry and canonical quantum gravity. A semi-finite spectral triple over a space of connections is presented. The triple invo…