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)

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
Creator
Contributor
Author
Author
Subject
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 non-trivial 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.
Member of
Is Subseries of
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
QC1-75
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)
Instantiates
Publication
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 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
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
10.1007/978-3-642-24440-7
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
  • (DE-He213)978-3-642-24440-7
  • (MiAaPQ)EBC3070486
  • (EXLCZ)993390000000021734
Label
Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing, by Mauro Carfora, Annalisa Marzuoli, (electronic resource)
Publication
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 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
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
10.1007/978-3-642-24440-7
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
  • (DE-He213)978-3-642-24440-7
  • (MiAaPQ)EBC3070486
  • (EXLCZ)993390000000021734

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