Space - Time - Matter : Analytic and Geometric Structures.
Brüning, Jochen.
Space - Time - Matter : Analytic and Geometric Structures. - 1st ed. - 1 online resource (518 pages)
Intro -- 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 of N = 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 inmaximally 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 -- Index.
9783110452150
Quantum field theory.
Algebraic topology.
Electronic books.
QC174.45 .S633 2018
530.15636
Space - Time - Matter : Analytic and Geometric Structures. - 1st ed. - 1 online resource (518 pages)
Intro -- 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 of N = 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 inmaximally 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 -- Index.
9783110452150
Quantum field theory.
Algebraic topology.
Electronic books.
QC174.45 .S633 2018
530.15636