LEADER 02980nam 2200613Ia 450 001 9910783914903321 005 20200520144314.0 010 $a1-281-12072-3 010 $a9786611120726 010 $a981-270-885-5 035 $a(CKB)1000000000334443 035 $a(EBL)312340 035 $a(OCoLC)476099786 035 $a(SSID)ssj0000253764 035 $a(PQKBManifestationID)11195526 035 $a(PQKBTitleCode)TC0000253764 035 $a(PQKBWorkID)10206805 035 $a(PQKB)10069707 035 $a(MiAaPQ)EBC312340 035 $a(WSP)00001878 035 $a(Au-PeEL)EBL312340 035 $a(CaPaEBR)ebr10188743 035 $a(CaONFJC)MIL112072 035 $a(OCoLC)935264136 035 $a(PPN)164154655 035 $a(EXLCZ)991000000000334443 100 $a20070731d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSupermanifolds$b[electronic resource] $etheory and applications /$fAlice Rogers 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2007 215 $a1 online resource (262 p.) 300 $aDescription based upon print version of record. 311 $a981-02-1228-3 320 $aIncludes bibliography (p. 239-248) and index. 327 $aPreface; Contents; 1. Introduction; 2. Super algebras; 3. Superspace; 4. Functions of anticommuting variables; 5. Supermanifolds: The concrete approach; 6. Functions and vector fields; 7. Supermanifolds: The algebro-geometric approach; 8. The structure of supermanifolds; 9. Super Lie groups; 10. Tensors and forms; 11. Integration on supermanifolds; 12. Geometric structures on supermanifolds; 13. Supermanifolds and supersymmetric theories; 14. Super Riemann surfaces; 15. Path integrals on supermanifolds; 16. Supermanifolds and BRST quantization; 17. Supermanifolds and geometry 327 $aAppendix A. NotationBibliography; Index 330 $aThis book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory. The first part of the book contains a full introduction to the theory of supermanifolds, comparing and contrasting the different approaches that exist. Topics covered include tensors on supermanifolds, super fibre bundles, super Lie groups and integration theory. Later chapters emphasise applications, including the superspace approach 606 $aSupermanifolds (Mathematics) 606 $aDifferentiable manifolds 615 0$aSupermanifolds (Mathematics) 615 0$aDifferentiable manifolds. 676 $a514.223 700 $aRogers$b Alice$g(Frances Alice)$01507889 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910783914903321 996 $aSupermanifolds$93738922 997 $aUNINA