Titlebook: Quantum Triangulations; Moduli Spaces, Strin Mauro Carfora,Annalisa Marzuoli Book 20121st edition Springer-Verlag Berlin Heidelberg 2012 Dy

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The Quantum Geometry of Polyhedral Surfaces,um Field Theory (QFT) plays in Geometry and Topology. We can argue back and forth on the relevance of such a role, but the perspective QFT offers is often surprising and far reaching. Examples abound, and a fine selection is provided by the revealing insights offered by Yang–Mills theory into the to

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State Sum Models and Observables,orial spacetime out of coupling of angular momenta—or ., is the precursor of the discretized approaches to 3-dimensional (3D) Euclidean quantum gravity collectively referred to as ‘state sum models’ after the 1992 paper by Turaev and Viro.

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Book 20121st editiongulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which ph

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0075-8450 ectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulat978-3-642-24440-7Series ISSN 0075-8450 Series E-ISSN 1616-6361

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Triangulated Surfaces and Polyhedral Structures,ather delicate point which appears in many guises in quantum gravity, and string theory, and which is related to the role that Riemann moduli space plays in these theories. Not surprisingly, the Witten–Kontsevich model by Kontsevitch (Commun Math Phys 147:1–23, 1992) lurks in the background of our a

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Book 20121st editionon of a given physical theory to make it more amenable for numerical treatment. .?.The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulat

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Springer-Verlag Berlin Heidelberg 2012