View in EDS PDF Full Text ePub Full Text

Space – Time – Matter : Analytic and Geometric Structures

Saved in:
Bibliographic Details
Title: Space – Time – Matter : Analytic and Geometric Structures
Description: This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647'Space – Time – Matter', in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity
Authors: Jochen Brüning, Matthias Staudacher
Resource Type: eBook.
Subjects: Geometry, Algebraic, Space and time
Categories: MATHEMATICS / Geometry / General, MATHEMATICS / Differential Equations / General, MATHEMATICS / Geometry / Differential, SCIENCE / Physics / Gravity, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / Relativity, MATHEMATICS / Differential Equations / Partial
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
  – Type: ebook-epub
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1791404
RelevancyScore: 1084
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1083.55249023438
IllustrationInfo
ImageInfo – Size: thumb
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$1791404$PDF&s=r
– Size: medium
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$1791404$PDF&s=d
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Space – Time – Matter : Analytic and Geometric Structures
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647'Space – Time – Matter', in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Jochen+Brüning%22">Jochen Brüning</searchLink><br /><searchLink fieldCode="AR" term="%22Matthias+Staudacher%22">Matthias Staudacher</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Geometry%2C+Algebraic%22">Geometry, Algebraic</searchLink><br /><searchLink fieldCode="DE" term="%22Space+and+time%22">Space and time</searchLink>
– Name: SubjectBISAC
  Label: Categories
  Group: Su
  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+General%22">MATHEMATICS / Geometry / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+General%22">MATHEMATICS / Differential Equations / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Differential%22">MATHEMATICS / Geometry / Differential</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Physics+%2F+Gravity%22">SCIENCE / Physics / Gravity</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Physics+%2F+Mathematical+%26+Computational%22">SCIENCE / Physics / Mathematical & Computational</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Physics+%2F+Relativity%22">SCIENCE / Physics / Relativity</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+Partial%22">MATHEMATICS / Differential Equations / Partial</searchLink>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=1791404
RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 510
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Geometry, Algebraic
        Type: general
      – SubjectFull: Space and time
        Type: general
    Titles:
      – TitleFull: Space – Time – Matter : Analytic and Geometric Structures
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Jochen Brüning
      – PersonEntity:
          Name:
            NameFull: Matthias Staudacher
      – PersonEntity:
          Name:
            NameFull: Jochen Brüning
      – PersonEntity:
          Name:
            NameFull: Matthias Staudacher
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 23
              M: 05
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9783110451351
            – Type: isbn-electronic
              Value: 9783110451535
            – Type: isbn-electronic
              Value: 9783110452150
          Titles:
            – TitleFull: Space – Time – Matter : Analytic and Geometric Structures
              Type: main
ResultId 1