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# Secondary Calculus and Cohomological Physics

### About this Title

**Marc Henneaux**, **Joseph Krasil′shchik** and **Alexandre Vinogradov**, Editors

Publication: Contemporary Mathematics

Publication Year
1998: Volume 219

ISBNs: 978-0-8218-0828-3 (print); 978-0-8218-7810-1 (online)

DOI: http://dx.doi.org/10.1090/conm/219

MathSciNet review: 1640439

### Table of Contents

**Front/Back Matter**

**Articles**

- M. Asorey, F. Falceto and G. Luzón – Unstable bundles in quantum field theory [MR 1640440]
- Glenn Barnich – Brackets in the jet-bundle approach to field theory [MR 1640441]
- C. Becchi, S. Giusto and C. Imbimbo – The BRST structure of twisted $N=2$ algebra [MR 1640442]
- L. Bonora, C. S. Chu and M. Rinaldi – Anomalies and locality in field theories and M-theory [MR 1640443]
- Friedemann Brandt – Gauge covariant algebras and local BRST cohomology [MR 1640444]
- Michel Dubois-Violette – Generalized homologies for $d^N=0$ and graded $q$-differential algebras [MR 1640445]
- Michel Fliess, Jean Lévine, Philippe Martin and Pierre Rouchon – Nonlinear control and diffieties, with an application to physics [MR 1640446]
- Marc Henneaux – Consistent interactions between gauge fields: the cohomological approach [MR 1640447]
- Niky Kamran and Thierry Robart – A compatible analytic manifold structure for Lie pseudogroups of infinite type [MR 1640448]
- Joseph Krasil′shchik – Cohomology background in geometry of PDE [MR 1640449]
- Nicola Maggiore – Algebraic renormalization of massive supersymmetric theories [MR 1640450]
- G. Marmo and A. Ibort – A new look at completely integrable systems and double Lie groups [MR 1640451]
- Vittorio Penna, Mario Rasetti and Mauro Spera – Quantum dynamics of 3-D vortices [MR 1640452]
- Jim Stasheff – The (secret?) homological algebra of the Batalin-Vilkovisky approach [MR 1640453]
- Alexander Verbovetsky – Notes on the horizontal cohomology [MR 1640454]
- Claude M. Viallet – Invariants of rational transformations and algebraic entropy [MR 1640455]
- Alexandre Vinogradov – Introduction to secondary calculus [MR 1640456]
- Alexandre Vinogradov and Michael Vinogradov – On multiple generalizations of Lie algebras and Poisson manifolds [MR 1640457]