LEADER 04891nam 2200697 450 001 9910480870003321 005 20170828133208.0 010 $a0-8218-7810-7 010 $a0-8218-5555-7 035 $a(CKB)3240000000069747 035 $a(EBL)3113033 035 $a(SSID)ssj0000712595 035 $a(PQKBManifestationID)11461762 035 $a(PQKBTitleCode)TC0000712595 035 $a(PQKBWorkID)10644433 035 $a(PQKB)11348089 035 $a(MiAaPQ)EBC3113033 035 $a(WaSeSS)Ind00039593 035 $a(PPN)197105467 035 $a(EXLCZ)993240000000069747 100 $a19980422h19981998 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSecondary calculus and cohomological physics $eproceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia /$fMarc Henneaux, Joseph Krasil?shchik, Alexandre Vinogradov, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1998] 210 4$dİ1998 215 $a1 online resource (306 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v219 300 $aDescription based upon print version of record. 311 $a0-8218-0828-1 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""The (secret?) homological algebra of the Batalin a??? 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"" 327 $a""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 = A?£00""; ""7. The conception of Secondary Calculus: vector fields and differential forms""; ""8. Secondary modules""; ""9. Secondary modules and flat connections""; ""10. a???-C-spectral sequence"" 327 $a""11. Secondary multi-vector-valued differential forms: an example of secondarization""""12. Secondarization versus quantization""; ""13. Bibliography and comments""; ""Acknowledgments""; ""References""; ""On multiple generalizations of Lie algebras and Poisson manifolds"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v219. 606 $aHomology theory$vCongresses 606 $aQuantum field theory$vCongresses 606 $aDifferential equations, Partial$xNumerical solutions$vCongresses 606 $aMathematical physics$vCongresses 608 $aElectronic books. 615 0$aHomology theory 615 0$aQuantum field theory 615 0$aDifferential equations, Partial$xNumerical solutions 615 0$aMathematical physics 676 $a514/.23 702 $aHenneaux$b Marc 702 $aKrasil?shchik$b I. S$g(Iosif Semenovich), 702 $aVinogradov$b A. M$g(Aleksandr Mikhai?lovich), 712 12$aConference on Secondary Calculus and Cohomological Physics 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480870003321 996 $aSecondary calculus and cohomological physics$9382450 997 $aUNINA