02980nam 2200613Ia 450 991078391490332120200520144314.01-281-12072-39786611120726981-270-885-5(CKB)1000000000334443(EBL)312340(OCoLC)476099786(SSID)ssj0000253764(PQKBManifestationID)11195526(PQKBTitleCode)TC0000253764(PQKBWorkID)10206805(PQKB)10069707(MiAaPQ)EBC312340(WSP)00001878(Au-PeEL)EBL312340(CaPaEBR)ebr10188743(CaONFJC)MIL112072(OCoLC)935264136(PPN)164154655(EXLCZ)99100000000033444320070731d2007 uy 0engur|n|---|||||txtccrSupermanifolds[electronic resource] theory and applications /Alice RogersSingapore ;Hackensack, NJ World Scientificc20071 online resource (262 p.)Description based upon print version of record.981-02-1228-3 Includes bibliography (p. 239-248) and index.Preface; 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 geometryAppendix A. NotationBibliography; IndexThis 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 Supermanifolds (Mathematics)Differentiable manifoldsSupermanifolds (Mathematics)Differentiable manifolds.514.223Rogers Alice(Frances Alice)1507889MiAaPQMiAaPQMiAaPQBOOK9910783914903321Supermanifolds3738922UNINA