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The Resource Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing, by Mauro Carfora, Annalisa Marzuoli, (electronic resource)
Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing, by Mauro Carfora, Annalisa Marzuoli, (electronic resource)
Resource Information
The item Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing, by Mauro Carfora, Annalisa Marzuoli, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing, by Mauro Carfora, Annalisa Marzuoli, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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 field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play nontrivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization 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 triangulated manifolds and quantum physics to the deepest. This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications.
 Language

 eng
 eng
 Edition
 1st ed. 2012.
 Extent
 1 online resource (XVII, 284 p. 90 illus., 10 illus. in color.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Triangulated Surfaces and Polyhedral Structures
 Singular Euclidean Structures an Riemann Surfaces
 Polyhedral Surfaces and the WeilPetersson 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
 Isbn
 9783642244407
 Label
 Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing
 Title
 Quantum Triangulations
 Title remainder
 Moduli Spaces, Strings, and Quantum Computing
 Statement of responsibility
 by Mauro Carfora, Annalisa Marzuoli
 Subject

 Manifolds and Cell Complexes (incl. Diff.Topology)
 Mathematical Applications in the Physical Sciences
 Mathematical Physics
 Mathematical physics
 Physics
 Physics, general
 Classical and Quantum Gravitation, Relativity Theory
 Quantum physics
 Quantum Physics
 Complex manifolds
 Gravitation
 Manifolds (Mathematics)
 Language

 eng
 eng
 Summary
 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 field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play nontrivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization 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 triangulated manifolds and quantum physics to the deepest. This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications.
 http://library.link/vocab/creatorName
 Carfora, Mauro
 Dewey number
 514.34
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 dh_gA0_qHv4
 zUcZ4YITcYk
 Image bit depth
 0
 Language note
 English
 LC call number
 QC175
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Marzuoli, Annalisa.
 Series statement

 Lecture notes in physics
 Lecture Notes in Physics,
 Series volume

 845
 845
 http://library.link/vocab/subjectName

 Physics
 Mathematical physics
 Quantum physics
 Manifolds (Mathematics)
 Complex manifolds
 Gravitation
 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
 Label
 Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing, by Mauro Carfora, Annalisa Marzuoli, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Triangulated Surfaces and Polyhedral Structures  Singular Euclidean Structures an Riemann Surfaces  Polyhedral Surfaces and the WeilPetersson 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
 Dimensions
 unknown
 Edition
 1st ed. 2012.
 Extent
 1 online resource (XVII, 284 p. 90 illus., 10 illus. in color.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783642244407
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783642244407
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3390000000021734
 (SSID)ssj0000610678
 (PQKBManifestationID)11381079
 (PQKBTitleCode)TC0000610678
 (PQKBWorkID)10639438
 (PQKB)10951114
 (DEHe213)9783642244407
 (MiAaPQ)EBC3070486
 (EXLCZ)993390000000021734
 Label
 Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing, by Mauro Carfora, Annalisa Marzuoli, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Triangulated Surfaces and Polyhedral Structures  Singular Euclidean Structures an Riemann Surfaces  Polyhedral Surfaces and the WeilPetersson 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
 Dimensions
 unknown
 Edition
 1st ed. 2012.
 Extent
 1 online resource (XVII, 284 p. 90 illus., 10 illus. in color.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783642244407
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783642244407
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3390000000021734
 (SSID)ssj0000610678
 (PQKBManifestationID)11381079
 (PQKBTitleCode)TC0000610678
 (PQKBWorkID)10639438
 (PQKB)10951114
 (DEHe213)9783642244407
 (MiAaPQ)EBC3070486
 (EXLCZ)993390000000021734
Subject
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Mathematical Applications in the Physical Sciences
 Mathematical Physics
 Mathematical physics
 Physics
 Physics, general
 Classical and Quantum Gravitation, Relativity Theory
 Quantum physics
 Quantum Physics
 Complex manifolds
 Gravitation
 Manifolds (Mathematics)
Member of
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