04891nam 2200697 450 991048087000332120170828133208.00-8218-7810-70-8218-5555-7(CKB)3240000000069747(EBL)3113033(SSID)ssj0000712595(PQKBManifestationID)11461762(PQKBTitleCode)TC0000712595(PQKBWorkID)10644433(PQKB)11348089(MiAaPQ)EBC3113033(WaSeSS)Ind00039593(PPN)197105467(EXLCZ)99324000000006974719980422h19981998 uy| 0engur|n|---|||||txtccrSecondary calculus and cohomological physics proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia /Marc Henneaux, Joseph Krasilʹshchik, Alexandre Vinogradov, editorsProvidence, Rhode Island :American Mathematical Society,[1998]©19981 online resource (306 p.)Contemporary mathematics,0271-4132 ;219Description based upon print version of record.0-8218-0828-1 Includes bibliographical references.""Contents""; ""Acknowledgments""; ""Foreword""; ""Unstable bundles in quantum field theory""; ""Brackets in the jet-bundle approach to field theory""; ""The BRST structure of twisted N = 2 algebra""; ""Anomalies and locality in field theories and M-theory""; ""Gauge covariant algebras and local BRST cohomology""; ""Generalized homologies for dN = 0 and graded q-differential algebras""; ""Nonlinear control and diffieties, with an application to physics""; ""Consistent interactions between gauge fields: the cohomological approach""""A compatible analytic manifold structure for Lie pseudogroups of infinite type""""Cohomology background in geometry of PDE""; ""1. Bracket formalism in commutative algebras""; ""2. Connections and cohomologies""; ""3. Nonlinear differential equations: C-cohomologies, deformations and recursion operators""; ""4. Nonlocal and superextensions""; ""5. Concluding remarks""; ""Acknowledgments""; ""References""; ""Algebraic renormalization of massive supersymmetric theories""; ""A new look at completely integrable systems and double Lie groups""; ""Quantum dynamics of 3-D vortices""""The (secret?) homological algebra of the Batalin â€? Vilkovisky approach""""1. The jet bundle setting for Lagrangian field theory""; ""2. Anti-fields as Koszul generators""; ""3. Noether identities and Tate generators""; ""4. Ghosts and the anti-bracket""; ""5. The Batalin- Vilkovisky complex (BV, s=)""; ""6. The BV version of the variational bicomplex""; ""7. The Master Equation and Higher Homotopy Algebra""; ""8. Deformation Theory and the Master Equation in Field Theory""; ""9. Quantization and other puzzles""; ""References""; ""Notes on the horizontal cohomology""""Invariants of rational transformations and algebraic entropy""""Introduction to Secondary Calculus""; ""1. Infinite jets""; ""2. Infinite prolongations of PDE's and diffieties""; ""3. Higher symmetries of PDE's""; ""4. The C-spectral sequence""; ""5. The structure of the term CE1 for 0 = ] 00""; ""6. The structure of the term CE1 for 0 = Â£00""; ""7. The conception of Secondary Calculus: vector fields and differential forms""; ""8. Secondary modules""; ""9. Secondary modules and flat connections""; ""10. â??-C-spectral sequence""""11. Secondary multi-vector-valued differential forms: an example of secondarization""""12. Secondarization versus quantization""; ""13. Bibliography and comments""; ""Acknowledgments""; ""References""; ""On multiple generalizations of Lie algebras and Poisson manifolds""Contemporary mathematics (American Mathematical Society) ;219.Homology theoryCongressesQuantum field theoryCongressesDifferential equations, PartialNumerical solutionsCongressesMathematical physicsCongressesElectronic books.Homology theoryQuantum field theoryDifferential equations, PartialNumerical solutionsMathematical physics514/.23Henneaux MarcKrasilʹshchik I. S(Iosif Semenovich),Vinogradov A. M(Aleksandr Mikhaĭlovich),Conference on Secondary Calculus and Cohomological PhysicsMiAaPQMiAaPQMiAaPQBOOK9910480870003321Secondary calculus and cohomological physics382450UNINA