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This thesis concerns the research on a Lorentzian generalization of Alain Connes' noncommutative geometry.
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J. Aastrup and J. M. Grimstrup, Spectral triples of holonomy loops
2006
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A. H. Chamseddine and A. Connes, The Spectral Action Principle
1997
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M. Heller and W. Sasin, Towards Noncommutative Quantization of Gravity
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2006
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2006
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2007
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J. Barrett, A Lorentzian version of the non-commutative geometry of the standard model of particle physics
2007
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F. Besnard, Canonical quantization and the spectral action, a nice example
2007
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A. H. Chamseddine, A. Connes and M. Marcolli, Gravity and the standard model with neutrino mixing
2007
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T. Thiemann, Introduction to Modern Canonical Quantum General relativity
2007
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A. Connes and M. Marcolli, Noncommutative Geometry, Quantum Fields and Motives
2008
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J. Aastrup, J. M. Grimstrup and R. Nest, On Spectral Triples in Quantum Gravity I
2009
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J. Aastrup, J. M. Grimstrup and R. Nest, J. On Spectral Triples in Quantum Gravity II
2009
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J. Aastrup, J. M. Grimstrup and R. Nest, A new spectral triple over a space of connections
2009
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J. Aastrup, J. M. Grimstrup and R. Nest, Holonomy Loops, Spectral Triples and Quantum Gravity
2009
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2009
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2009
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J.-P. Antoine and C. Trapani, Partial Inner Product Spaces: Theory and Applications
2010
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E. Cagnache and J.-C. Wallet, Spectral Distances: Results for Moyal Plane and Noncommutative Torus
2010
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2010
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F. D’Andrea and P. Martinetti, A View on Optimal Transport from Noncommutative Geometry
2010
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N. Franco, Towards a noncommutative version of Gravitation
2010
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N. Franco, Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
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A. Connes, On the spectral characterization of manifolds
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