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Homological Methods in Random Noncommutative Geometry
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- 1 Intro
- 2 Outline
- 3 Background
- 4 Fuzzy spectral triples
- 5 Dirac operator of fuzzy spectral triple
- 6 Examples: Fuzzy sphere
- 7 Random NCG and the path integral
- 8 Comparison with results from random matrix theory
- 9 Numerical evidence of phase transitions
- 10 Diffeomorphism symmetries?
- 11 NC diffeomorphisms
- 12 Gauge transformations
- 13 Perturbations
- 14 BV-formalism
- 15 Classical BV formalism
- 16 Shifted Poisson structure
- 17 BV quantisation
- 18 Computing the path integral
- 19 Correlation functions
- 20 Analogy Higgs mechanism
- 21 Summary
