LEADER 03401nam 22007454a 450 001 9910451663803321 005 20210526213012.0 010 $a1-283-39668-8 010 $a9786613396686 010 $a3-11-916250-7 010 $a3-11-020001-5 024 7 $a10.1515/9783110200010 035 $a(CKB)1000000000479961 035 $a(EBL)322929 035 $a(OCoLC)476120287 035 $a(SSID)ssj0000178848 035 $a(PQKBManifestationID)11189180 035 $a(PQKBTitleCode)TC0000178848 035 $a(PQKBWorkID)10230109 035 $a(PQKB)11663490 035 $a(MiAaPQ)EBC322929 035 $a(DE-599)GBV58795129X 035 $a(DE-B1597)32452 035 $a(OCoLC)979688970 035 $a(DE-B1597)9783110200010 035 $a(Au-PeEL)EBL322929 035 $a(CaPaEBR)ebr10197216 035 $a(CaONFJC)MIL339668 035 $a(OCoLC)232160080 035 $a(EXLCZ)991000000000479961 100 $a20040514d2004 uy 0 101 0 $aeng 135 $aurun#---|u||u 181 $ctxt 182 $cc 183 $acr 200 00$aInfinite dimensional groups and manifolds$b[electronic resource] /$feditor Tilmann Wurzbacher 210 $aBerlin ;$aNew York $cWalter de Gruyter$dc2004 215 $a1 online resource (260 p.) 225 1 $aIRMA lectures in mathematics and theoretical physics ;$v5 300 $aDescription based upon print version of record. 311 0 $a3-11-018186-X 320 $aIncludes bibliographical references. 327 $tFront matter --$tTable of Contents --$tLie groups of germs of analytic mappings --$tThe flow completion of the Burgers equation --$tEnumerative geometry and knot invariants --$tGerbes, (twisted) K-theory, and the supersymmetric WZW model --$tCurrent groups for non-compact manifolds and their central extensions --$tTraces and characteristic classes on loop spaces --$tNew classical limits of quantum theories 330 $aThe volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Topics covered are: new classes of Lie groups of mappings, the Burgers equation, the Chern--Weil construction in infinite dimensions, the Hamiltonian approach to quantum field theory, and different aspects of large N limits ranging from approximation methods in quantum mechanics to modular forms and string/gauge theory duality. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of important themes of research at the forefront of mathematics and theoretical physics. 410 0$aIRMA lectures in mathematics and theoretical physics ;$v5. 606 $aInfinite-dimensional manifolds 606 $aInfinite dimensional Lie algebras 606 $aDifferential equations, Partial 606 $aQuantum field theory 608 $aElectronic books. 615 0$aInfinite-dimensional manifolds. 615 0$aInfinite dimensional Lie algebras. 615 0$aDifferential equations, Partial. 615 0$aQuantum field theory. 676 $a512/.55 686 $aSK 350$2rvk 701 $aWurzbacher$b Tilman$f1961-$01046041 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910451663803321 996 $aInfinite dimensional groups and manifolds$92472704 997 $aUNINA