Thomas Thiemann
- CLASSICAL FOUNDATIONS, INTERPRETATION AND THE CANONICAL QUANTISATION PROGRAMME
- FOUNDATIONS OF MODERN CANONICAL QUANTUM GENERAL RELATIVITY
- PHYSICAL APPLICATIONS
- MATHEMATICAL TOOLS AND THEIR CONNECTION TO PHYSICS
- Tools from general topology
- Differential, Riemannian, symplectic and complex geometry
- Elements of fibre bundle theory
- Holonomies on non-trivial fibre bundles
- Geometric quantisation
- The Dirac algorithm for field theories with constraints
- Tools from measure theory
- Key results from functional analysis
- Elementary introduction to Gel’fand theory for Abelian C∗-algebras
- Bohr compactification of the real line
- Operator ∗-algebras and spectral theorem
- Refined algebraic quantisation (RAQ) and direct integral decomposition (DID)
- Basics of harmonic analysis on compact Lie groups
- Spin-network functions for SU(2)
- Functional analytic description of classical connection dynamics
- Abelian C∗-algebras