LEADER 04057nam 22006374 450 001 9910788715303321 005 20230607232341.0 010 $a3-11-086622-6 024 7 $a10.1515/9783110866223 035 $a(CKB)3390000000033795 035 $a(EBL)3044348 035 $a(OCoLC)922947622 035 $a(SSID)ssj0001121361 035 $a(PQKBManifestationID)11757040 035 $a(PQKBTitleCode)TC0001121361 035 $a(PQKBWorkID)11187501 035 $a(PQKB)11305966 035 $a(MiAaPQ)EBC3044348 035 $a(DE-B1597)55865 035 $a(OCoLC)979839721 035 $a(DE-B1597)9783110866223 035 $a(Au-PeEL)EBL3044348 035 $a(CaPaEBR)ebr10782309 035 $a(EXLCZ)993390000000033795 100 $a20020103d2002 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 00$aDeformation quantization $eproceedings of the meeting of theoretical physicists and mathematicians, Strasbourg, May 31-June 2, 2001 = rencontre entre physiciens the?oriciens et mathe?maticiens, Strasbourg, 31 mai-2 juin 2001 /$feditor Gilles Halbout 205 $aReprint 2012 210 1$aBerlin ;$aNew York :$cWalter de Gruyter,$d2002. 215 $a1 online resource (244 p.) 225 0 $aIRMA Lectures in Mathematics and Theoretical Physics ;$v1 300 $aDescription based upon print version of record. 311 0 $a3-11-180648-0 311 0 $a3-11-017247-X 320 $aIncludes bibliographical references. 327 $tFront matter --$tPreface --$tTable of Contents --$tDeformation quantization, methods and applications /$rHalbout, Gilles --$tDeformation quantization: genesis, developments and metamorphoses /$rDito, Giuseppe / Sternheimer, Daniel --$tDeformation quantization of covariant fields /$rDito, Giuseppe --$tOn the trace density in deformation quantization /$rFedosov, Boris --$tDeformed double Yangians and quasi-Hopf algebras /$rArnaudon, Daniel / Avan, Jean / Frappat, Luc / Ragoucy, Eric --$tOn the representation theory of deformation quantization /$rWaldmann, Stefan --$tUnimodular vector fields and deformation quantization /$rRoger, Claude --$tHarrison cohomology and abelian deformation quantization on algebraic varieties /$rFrønsdal, Christian --$tRelated semi-classical and Toeplitz algebras /$rMonvel, Louis Boutet de --$tFedosov connections on jet bundles and deformation quantization /$rCattaneo, Alberto S. / Felder, Giovanni / Tomassini, Lorenzo --$tQuantization of Lie bialgebras via the formality of the operad of little disks /$rTamarkin, Dimitri 330 $aThis book contains eleven refereed research papers on deformation quantization by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg in May 2001. Topics covered are: star-products over Poisson manifolds, quantization of Hopf algebras, index theorems, globalization and cohomological problems. Both the mathematical and the physical approach ranging from asymptotic quantum electrodynamics to operads and prop theory will be presented. Historical remarks and surveys set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research that has seen enourmous acticity in the last years, with new ties to many other areas of mathematics and physics. 410 0$aIRMA Lectures in Mathematics and Theoretical Physics 606 $aGeometric quantization$vCongresses 606 $aMathematical physics$vCongresses 615 0$aGeometric quantization 615 0$aMathematical physics 676 $a530.14/3 686 $aSI 290$2rvk 701 $aHalbout$b Gilles$01563294 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788715303321 996 $aDeformation quantization$93831573 997 $aUNINA