Quantum Triangulations Moduli Spaces, Strings, and Quantum Computing /

• Main Authors: Carfora, Mauro (Author), Marzuoli, Annalisa (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Lecture Notes in Physics, 845
• Subjects: Physics.; Mathematical physics.; Manifolds (Mathematics).; Complex manifolds.; Gravitation.; Quantum physics.; Physics, general.; Mathematical Physics.; Quantum Physics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Classical and Quantum Gravitation, Relativity Theory.; Mathematical Applications in the Physical Sciences.

Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum fie...

Table of Contents:

• Triangulated Surfaces and Polyhedral Structures
• Singular Euclidean Structures an Riemann Surfaces
• Polyhedral Surfaces and the Weil-Petersson Form
• The Quantum Geometry of Polyhedral Surfaces
• State Sum Models and Observables
• Combinatorial Framework for Topological Quantum Computing
• A Capsule of Moduli Space Theory
• Spectral Theory on Polyhedral Surfaces
• Index.