LEADER 04585nam 2200517 450 001 9910466377803321 005 20200520144314.0 010 $a3-11-045153-0 010 $a3-11-045215-4 024 7 $a10.1515/9783110452150 035 $a(CKB)4100000003666382 035 $a(MiAaPQ)EBC5155962 035 $a(DE-B1597)459705 035 $a(OCoLC)1032686991 035 $a(DE-B1597)9783110452150 035 $a(Au-PeEL)EBL5155962 035 $a(CaPaEBR)ebr11565728 035 $a(EXLCZ)994100000003666382 100 $a20180612d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aSpace-time-matter $eanalytic and geometric structures /$fedited by Jochen Bruening, Matthias Staudacher 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2018] 210 4$d©2018 215 $a1 online resource (518 pages) 311 $a3-11-045135-2 327 $tFrontmatter -- $tContents -- $tIntroduction / $rBrüning, Jochen / Staudacher, Matthias -- $tAlgebraic K-theory, assembly maps, controlled algebra, and trace methods / $rReich, Holger / Varisco, Marco -- $tLorentzian manifolds with special holonomy - Constructions and global properties / $rBaum, Helga -- $tContributions to the spectral geometry of locally homogeneous spaces / $rBoldt, Sebastian / Schueth, Dorothee -- $tOn conformally covariant differential operators and spectral theory of the holographic Laplacian / $rJuhl, Andreas -- $tModuli and deformations / $rAltmann, Klaus / Farkas, Gavril -- $tVector bundles in algebraic geometry and mathematical physics / $rAndreas, Björn / Schmitt, Alexander -- $tDyson-Schwinger equations: Fix-point equations for quantum fields / $rKreimer, Dirk -- $tHidden structure in the form factors of N = 4 SYM / $rNandan, Dhritiman / Yang, Gang -- $tOn regulating the AdS superstring / $rForini, Valentina -- $tConstraints on CFT observables from the bootstrap program / $rLiendo, Pedro -- $tSimplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities / $rChiodaroli, Marco -- $tYangian symmetry inmaximally supersymmetric Yang-Mills theory / $rFerro, Livia / Plefka, Jan / Staudacher, Matthias -- $tWave and Dirac equations on manifolds / $rAndersson, Lars / Bär, Christian -- $tGeometric analysis on singular spaces / $rBei, Francesco / Brüning, Jochen / Güneysu, Batu / Ludewig, Matthias -- $tSingularities and long-time behavior in nonlinear evolution equations and general relativity / $rEcker, Klaus / Fiedler, Bernold -- $tIndex 330 $aThis 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 606 $aQuantum field theory 606 $aAlgebraic topology 608 $aElectronic books. 615 0$aQuantum field theory. 615 0$aAlgebraic topology. 676 $a530.143 702 $aBru?ning$b Jochen 702 $aStaudacher$b Matthias 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910466377803321 996 $aSpace-time-matter$92455796 997 $aUNINA