Secondary calculus and cohomological physics : proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia

書誌事項

Secondary calculus and cohomological physics : proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia

Marc Henneaux, Joseph Krasil'shchik, Alexandre Vinogradov, editors

(Contemporary mathematics, v. 219)

American Mathematical Society, c1998

大学図書館所蔵 件 / 全58件

この図書・雑誌をさがす

注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

ページトップへ

AltStyle によって変換されたページ (->オリジナル) /