Buch, Englisch, 495 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 1048 g
Analytic and Geometric Structures
Buch, Englisch, 495 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 1048 g
ISBN: 978-3-11-045135-1
Verlag: De Gruyter
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
Staudacher / Brüning
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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
Zielgruppe
Graduate students and researchers in mathematics and physics.
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik
- Mathematik | Informatik Mathematik Topologie
- Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
- Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Zeitmessung: Physikalische und Technische Aspekte
- Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
- Naturwissenschaften Astronomie Kosmologie, Urknalltheorie
- Naturwissenschaften Astronomie Zeitmesssysteme, Relativitätstheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
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