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The International Conference on

Secondary Calculus and Cohomological Physics

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Moscow

August 24 - August 31, 1997

### Organized by

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Diffiety Institute of the Russian Academy of Natural Sciences
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in collaboration with

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M.V. Lomonosov Moscow State University
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Istituto Italiano per gli Studi Filosofici

with support from the

**
ISTITUTO ITALIANO PER GLI STUDI FILOSOFICI
**

RUSSIAN FOUNDATION FOR BASE RESEARCH

INTERNATIONAL CENTER FOR FUNDAMENTAL PHYSICS (Moscow)

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Scientific Committee

**
I. Batalin (Moscow),
L. Bonora (Triest),
R. Bryant (Durham, NC),
M. Dubois-Violette (Orsay),
M. Fliess (Paris),
P. Griffiths (Princeton, NJ),
M. Henneaux (Brussels),
V. Kozlov (Moscow),
J. Krasil'shchik (Moscow),
G. Marmo (Naples),
B. Sadovnikov (Moscow),
J. Stasheff (Chapel Hill, NC),
M. Talon (Paris),
I. Tyutin (Moscow),
C. Viallet (Paris),
A. Vinogradov (Salerno-Moscow),
B. Voronov (Moscow)
**
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Local Committee:

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V. Kozlov,
B. Sadovnikov,
J. Krasil'shchik,
A. Samokhin,
M. Vinogradov (Moscow)
**

Copyright © 1997 The Authors

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### Contents

Foreword:

Invited contributions to the Conference

SECONDARY CALCULUS AND COHOMOLOGICAL PHYSICS.

(Abstracts)

V.A. Andreev, O.A. Ivanova:

Reduced system of Bethe equations for three-boson interaction

M. Castrillon Lopez & J. Munoz Masque:

Gauge invariance on principal $SU(2)$-bundles

A. A. Davydov:

On some Hochschild cohomology classes of fusion algebras

Yuri E. Gliklikh:

On stochastic evolution of a general relativistic quantum particle without conservation of energy

R. Martini and P.H.M. Kersten:

WDVV equations and their solutions for a $(3,2)$ and $(3,4)$ supermanifold; the isotropic and nonisotropic case

O.M. Khudaverdian, D.A. Sahakyan:

Cohomological aspects of Noether theorem for Lagrangians of classical mechanics

Michal Marvan:

A direct procedure to compute zero-curvature representations

A. Alvarez, J.A. Armario, P. Real, B. Silva:

Homological Perturbation Theory and computability of Hochschild and cyclic homologies of CDGAs

Dmitry Roytenberg, Alan Weinstein:

Courant algebroids and strongly homotopy Lie algebras

Alexey V. Samokhin:

Symmetries of equations containing a small parameter

S.I. Senashov, A.N. Iakhno:

Conservation Laws and Main Boundary Problems of Plasticity

Valery E. Shemarulin:

A direct method for solving boundary-value problems

Vladimir O. Soloviev:

Divergences as a grading of the formal variational calculus

V.N. Gusyatnikova, V.A. Yumaguzhin:

Contact transformations and local reducibility of ODE to the form $y"'=0$

Victor V. Zharinov:

Secondary operational calculus