Quantum Triangulations Moduli Space, Quantum Computing, Non-Linear Sigma Models and Ricci Flow
The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting non-linear sigma models’ effective action to Perelman’s energy-functional. No other published account of this matter is so d...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2017, 2017
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| Edition: | 2nd ed. 2017 |
| Series: | Lecture Notes in Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Acknowledgements
- Triangulated Surfaces and Polyhedral Structures
- Singular Euclidean Structures and Riemann Surfaces
- Polyhedral Surfaces and the Weil-Petersson Form
- The Quantum Geometry of Polyhedral Surfaces: Non–Linear σ Model and Ricci Flow
- The Quantum Geometry of Polyhedral Surfaces: Variations on Strings and All That
- State Sum Models and Observables
- State Sum Models and Observables
- Combinatorial Framework for Topological Quantum Computing
- Appendix A: Riemannian Geometry
- Appendix B: A Capsule of Moduli Space Theory
- Appendix C: Spectral Theory on Polyhedral Surfaces
- Index