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Secondary calculus and cohomological physics : [electronic resource] proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia / Marc Henneaux, Joseph Krasil�shchik, Alexandre Vinogradov, editors.

By: Conference on Secondary Calculus and Cohomological Physics (1997 : Moscow, Russia)Contributor(s): Henneaux, Marc | Krasil�shchik, I. S. (Iosif Semenovich) | Vinogradov, A. M. (Aleksandr Mikha�ilovich)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 219.Publication details: Providence, R.I. : American Mathematical Society, c1998Description: 1 online resource (xiv, 287 p. : ill.)ISBN: 9780821878101 (online)Subject(s): Homology theory -- Congresses | Quantum field theory -- Congresses | Differential equations, Partial -- Numerical solutions -- Congresses | Mathematical physics -- CongressesAdditional physical formats: Secondary calculus and cohomological physics :DDC classification: 514/.23 LOC classification: QC20.7.H65 | C66 1997Online resources: Contents | Contents

Contents:

Unstable bundles in quantum field theory / M. Asorey, F. Falceto and G. Luz�on -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03063 Brackets in the jet-bundle approach to field theory / Glenn Barnich -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03064 The BRST structure of twisted $N=2$ algebra / C. Becchi, S. Giusto and C. Imbimbo -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03065 Anomalies and locality in field theories and M-theory / L. Bonora, C. S. Chu and M. Rinaldi -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03066 Gauge covariant algebras and local BRST cohomology / Friedemann Brandt -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03067 Generalized homologies for $d^N=0$ and graded $q$-differential algebras / Michel Dubois-Violette -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03068 Nonlinear control and diffieties, with an application to physics / Michel Fliess, Jean L�evine, Philippe Martin and Pierre Rouchon -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03069 Consistent interactions between gauge fields: the cohomological approach / Marc Henneaux -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03070 A compatible analytic manifold structure for Lie pseudogroups of infinite type / Niky Kamran and Thierry Robart -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03071 Cohomology background in geometry of PDE / Joseph Krasilshchik -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03072 Algebraic renormalization of massive supersymmetric theories / Nicola Maggiore -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03073 A new look at completely integrable systems and double Lie groups / G. Marmo and A. Ibort -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03074 Quantum dynamics of 3-D vortices / Vittorio Penna, Mario Rasetti and Mauro Spera -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03075 The (secret?) homological algebra of the Batalin-Vilkovisky approach / Jim Stasheff -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03076 Notes on the horizontal cohomology / Alexander Verbovetsky -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03077 Invariants of rational transformations and algebraic entropy / Claude M. Viallet -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03078 Introduction to secondary calculus / Alexandre Vinogradov -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03079 On multiple generalizations of Lie algebras and Poisson manifolds / Alexandre Vinogradov and Michael Vinogradov -- http://www.ams.org/conm/219/ http://dx.doi.org/10.1090/conm/219/03080

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Includes bibliographical references.

Unstable bundles in quantum field theory / M. Asorey, F. Falceto and G. Luz�on -- Brackets in the jet-bundle approach to field theory / Glenn Barnich -- The BRST structure of twisted $N=2$ algebra / C. Becchi, S. Giusto and C. Imbimbo -- Anomalies and locality in field theories and M-theory / L. Bonora, C. S. Chu and M. Rinaldi -- Gauge covariant algebras and local BRST cohomology / Friedemann Brandt -- Generalized homologies for $d^N=0$ and graded $q$-differential algebras / Michel Dubois-Violette -- Nonlinear control and diffieties, with an application to physics / Michel Fliess, Jean L�evine, Philippe Martin and Pierre Rouchon -- Consistent interactions between gauge fields: the cohomological approach / Marc Henneaux -- A compatible analytic manifold structure for Lie pseudogroups of infinite type / Niky Kamran and Thierry Robart -- Cohomology background in geometry of PDE / Joseph Krasilshchik -- Algebraic renormalization of massive supersymmetric theories / Nicola Maggiore -- A new look at completely integrable systems and double Lie groups / G. Marmo and A. Ibort -- Quantum dynamics of 3-D vortices / Vittorio Penna, Mario Rasetti and Mauro Spera -- The (secret?) homological algebra of the Batalin-Vilkovisky approach / Jim Stasheff -- Notes on the horizontal cohomology / Alexander Verbovetsky -- Invariants of rational transformations and algebraic entropy / Claude M. Viallet -- Introduction to secondary calculus / Alexandre Vinogradov -- On multiple generalizations of Lie algebras and Poisson manifolds / Alexandre Vinogradov and Michael Vinogradov --