Secondary Calculus and Cohomological Physics (original) (raw)

Contemporary mathematics, 1998

Abstract

Unstable bundles in quantum field theory by M. Asorey, F. Falceto, and G. Luzon Brackets in the jet-bundle approach to field theory by G. Barnich The BRST structure of twisted N=2N = 2N=2 algebra by C. Becchi, S. Giusto, and C. Imbimbo Anomalies and locality in field theories and M-theory by L. Bonora, C. S. Chu, and M. Rinaldi Gauge covariant algebras and local BRST cohomology by F. Brandt Generalized homologies for dN=0d^N = 0dN=0 and graded qqq-differential algebras by M. Dubois-Violette Nonlinear control and diffieties, with an application to physics by M. Fliess, J. Levine, P. Martin, and P. Rouchon Consistent interactions between gauge fields: the cohomological approach by M. Henneaux A compatible analytic manifold structure for Lie pseudogroups of infinite type by N. Kamran and T. Robart Cohomology background in geometry of PDE by J. Krasilshchik Algebraic renormalization of massive supersymmetric theories by N. Maggiore A new look at completely integrable systems and double Lie groups by G. Marmo and A. Ibort Quantum dynamics of 3-D vortices by V. Penna, M. Rasetti, and M. Spera The (secret?) homological algebra of the Batalin-Vilkovisky approach by J. D. Stasheff Notes on the horizontal cohomology by A. Verbovetsky Invariants of rational transformations and algebraic entropy by C. M. Viallet Introdution to secondary calculus by A. Vinogradov On multiple generalizations of Lie algebras and Poisson manifolds by A. Vinogradov and M. Vinogradov.

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