Book contents
- Frontmatter
- Contents
- Preface
- 1 Why (2+1)-dimensional gravity?
- 2 Classical general relativity in 2+1 dimensions
- 3 A field guide to the (2+1)-dimensional spacetimes
- 4 Geometric structures and Chern–Simons theory
- 5 Canonical quantization in reduced phase space
- 6 The connection representation
- 7 Operator algebras and loops
- 8 The Wheeler–DeWitt equation
- 9 Lorentzian path integrals
- 10 Euclidean path integrals and quantum cosmology
- 11 Lattice methods
- 12 The (2+1)-dimensional black hole
- 13 Next steps
- Appendix A The topology of manifolds
- Appendix B Lorentzian metrics and causal structure
- Appendix C Differential geometry and fiber bundles
- References
- Index
7 - Operator algebras and loops
Published online by Cambridge University Press: 15 December 2009
Book contents
- Frontmatter
- Contents
- Preface
- 1 Why (2+1)-dimensional gravity?
- 2 Classical general relativity in 2+1 dimensions
- 3 A field guide to the (2+1)-dimensional spacetimes
- 4 Geometric structures and Chern–Simons theory
- 5 Canonical quantization in reduced phase space
- 6 The connection representation
- 7 Operator algebras and loops
- 8 The Wheeler–DeWitt equation
- 9 Lorentzian path integrals
- 10 Euclidean path integrals and quantum cosmology
- 11 Lattice methods
- 12 The (2+1)-dimensional black hole
- 13 Next steps
- Appendix A The topology of manifolds
- Appendix B Lorentzian metrics and causal structure
- Appendix C Differential geometry and fiber bundles
- References
- Index
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Quantum Gravity in 2+1 Dimensions , pp. 117 - 130Publisher: Cambridge University PressPrint publication year: 1998