Secondary 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, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1998]; ©1998
• Descrizione fisica: 1 online resource (306 p.)
• Disciplina: 514/.23
• Soggetto topico: Homology theory; Quantum field theory; Differential equations, Partial - Numerical solutions; Mathematical physics
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): HenneauxMarc; KrasilʹshchikI. S (Iosif Semenovich); VinogradovA. M (Aleksandr Mikhaĭlovich)
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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 = £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""
• Titolo autorizzato: Secondary calculus and cohomological physics
• ISBN: 0-8218-7810-7; 0-8218-5555-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480870003321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; 219.