Quantum Triangulations

Quantum Triangulations

Moduli Space, Quantum Computing, Non-Linear Sigma Models and Ricci Flow

Marzuoli, Annalisa; Carfora, Mauro

Springer International Publishing AG

11/2017

392

Mole

Inglês

9783319679365

15 a 20 dias

6954

Descrição não disponível.
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 ? 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.
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Dynamical triangulations;Polyhedral surfaces and complex geometry;Moduli space;Geometry of polyhedral manifolds;Quantum Liouville Theory;Weil-Petersson;Quantum gravity and non-critical string theory;Topological quantum Field Theory;Higher dimensional manifolds;Mathematical methods for quantum computing;Wess-Zumino-Witten theory