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Record Nr. |
UNINA9910480870003321 |
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Titolo |
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 |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1998] |
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©1998 |
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ISBN |
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0-8218-7810-7 |
0-8218-5555-7 |
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Descrizione fisica |
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1 online resource (306 p.) |
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Collana |
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Contemporary mathematics, , 0271-4132 ; ; 219 |
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Disciplina |
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Soggetti |
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Homology theory |
Quantum field theory |
Differential equations, Partial - Numerical solutions |
Mathematical physics |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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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 � 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"" |
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