05979nam 22007695 450 99646683000331620200706144415.03-319-67937-610.1007/978-3-319-67937-2(CKB)4340000000223428(DE-He213)978-3-319-67937-2(MiAaPQ)EBC6307371(MiAaPQ)EBC5579003(Au-PeEL)EBL5579003(OCoLC)1014066258(PPN)221251243(EXLCZ)99434000000022342820171127d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierQuantum Triangulations[electronic resource] Moduli Space, Quantum Computing, Non-Linear Sigma Models and Ricci Flow /by Mauro Carfora, Annalisa Marzuoli2nd ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XX, 392 p. 113 illus., 92 illus. in color.)Lecture Notes in Physics,0075-8450 ;9423-319-67936-8 Includes bibliographical references and index.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.This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play non-trivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic non-linear sigma model and its subtle and many-faceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of non-linear sigma models. 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 detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its  applications.Lecture Notes in Physics,0075-8450 ;942Quantum physicsMathematical physicsManifolds (Mathematics)Complex manifoldsGravitationPhysicsQuantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Manifolds and Cell Complexes (incl. Diff.Topology)https://scigraph.springernature.com/ontologies/product-market-codes/M28027Classical and Quantum Gravitation, Relativity Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19070Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Quantum physics.Mathematical physics.Manifolds (Mathematics).Complex manifolds.Gravitation.Physics.Quantum Physics.Mathematical Physics.Manifolds and Cell Complexes (incl. Diff.Topology).Classical and Quantum Gravitation, Relativity Theory.Mathematical Applications in the Physical Sciences.Numerical and Computational Physics, Simulation.530.15Carfora Mauroauthttp://id.loc.gov/vocabulary/relators/aut52579Marzuoli Annalisaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996466830003316Quantum Triangulations2162701UNISA01156nam0 22003253i 450 RML035156220231121125800.0207036508520130520d1949 ||||0itac50 bafrefrz01i xxxe z01n˜La œdesobeissanceAlberto Moraviatraduit de l'italien par Michel Arnaudavant-propos de Guy TosiParisDenoel1949stampa 1993181 p.18 cm.Folio508001RAV01103972001 Folio508853.914NARRATIVA ITALIANA, 1945-21Moravia, AlbertoCFIV000648177392Arnaud, Michel <1907-1993>TO0V556977Pincherle, AlbertoCFIV000649Moravia, AlbertoITIT-0120130520IT-FR0017 Biblioteca umanistica Giorgio ApreaFR0017 RML0351562Biblioteca umanistica Giorgio Aprea 52FOLIO 508 52FLS0000054085 VMB RS A 2013052020130520 52Désobéissance204009UNICAS01114nam2 22002891i 450 RML028911120231121125734.020121121d1971 ||||0itac50 bafrefrz01i xxxe z01n˜2: œHistoire de la pédagogieMaurice Debesse...[et al.]Paris Presses Universitaires de France 1971536p.24 cm001RML02891092001 Traité des sciences pédagogiquesMaurice Debesse, Gaston MialaretDebesse, MauriceRMLV184945157913Mialaret, GastonRMLV17173088801Best, FrancineRMLV186881307721ITIT-0120121121IT-FR0017 Biblioteca umanistica Giorgio ApreaFR0017 RML0289111Biblioteca umanistica Giorgio Aprea 52CIS 1/2063.2 52VM 0000585345 VM barcode:00057942. - Inventario:12786 MAGVMA 2005120920121204 52Histoire de la pédagogie3627609UNICAS