Quantum Triangulations

Quantum Triangulations

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

Carfora, Mauro; Marzuoli, Annalisa

Springer International Publishing AG

11/2017

392

Mole

Inglês

9783319679365

15 a 20 dias

This book offers an introduction to triangulated manifolds. It examines, through a set of cases studies, the connection between triangulated manifolds and quantum physics .
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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