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 Trudy MIAN: Year: Volume: Issue: Page: Find

 1994, Volume 205

 | General information | Contents |

New results in the theory of topological classification of integrable systems

Editor: A. T. Fomenko
Managing editor: E. F. Mishchenko

ISBN: 5-02-007018-1
UDC: 517.938.5+514.8

Abstract: The collection contains new results obtained in the theory of topological classification of integrable Hamiltonian systems. Some kinds of momentum mapping singularities (in particular, non-Bott singularities) are classified in articles of the collection, topological invariants are calculated for integrable systems describing various problems of mechanics and mathematical physics, the bordism theory for integrable systems are constructed, and also some problems of symplectic topology naturally arising in the scope of this theory are solved.
The book is intended for large section of mathematicians which are interested in applications of symplectic topology and geometry to problems of mathematical physics and also for students and postgraduate students specializing in geometry, differential equations, dynamical systems, Hamiltonian mechanics.

Citation: New results in the theory of topological classification of integrable systems, Trudy Mat. Inst. Steklov., 205, ed. A. T. Fomenko, E. F. Mishchenko, Nauka, Moscow, 1994, 208 pp.

Citation in format AMSBIB:
\Bibitem{1} \book New results in the theory of topological classification of integrable systems \serial Trudy Mat. Inst. Steklov. \yr 1994 \vol 205 \publ Nauka \publaddr Moscow \ed A.~T.~Fomenko, E.~F.~Mishchenko \totalpages 208 \mathnet{http://mi.mathnet.ru/book1092}