Secondary calculus and cohomological physics : proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia
著者
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
(Contemporary mathematics, v. 219)
American Mathematical Society, c1998
大学図書館所蔵 全59件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
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.
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