Secondary calculus and cohomological physics : proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia
Author(s)
Bibliographic Information
Secondary calculus and cohomological physics : proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia
（Contemporary mathematics, v. 219）
American Mathematical Society, c1998
Available at 59 libraries
Note
Includes bibliographical references
Description and Table of Contents
Description
This collection of invited lectures (at the Conference on Secondary Calculus and Cohomological Physics, Moscow) reflects the state-of-the-art in a new branch of mathematics and mathematical physics arising at the intersection of geometry of nonlinear differential equations, quantum field theory, and cohomological algebra. This is the first comprehensive and self-contained book on modern quantum field theory in the context of cohomological methods and the geometry of nonlinear PDEs. It features: an up-to-date and self-contained exposition of the newest results in cohomological aspects of quantum field theory and the geometry of PDEs; a new look at interrelations among cohomology theory, the geometry of PDEs, and field theory; and, application to Batalin-Vilkovisky formalism, BRST formalism, anomalies, and quantum dynamics.
Table of Contents
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 $N = 2$ 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 $d^N = 0$ and graded $q$-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.
by "Nielsen BookData"