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Advances in the Mathematical Sciences
Geometry of Differential Equations
Edited by: A. Khovanskiĭ, Russian Academy of Sciences, Moscow, Russia, A. Varchenko, University of North Carolina, Chapel Hill, NC, and V. Vassiliev, Moscow, Russia

American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
1998; 194 pp; hardcover
Volume: 186
ISBN-10: 0-8218-1094-4
ISBN-13: 978-0-8218-1094-1
List Price: US$114
Member Price: US$91.20
Order Code: TRANS2/186
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This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics.


Graduate students and research mathematicians working in differential equations and geometry.

Table of Contents

  • H. Cendra, D. D. Holm, J. E. Marsden, and T. S. Ratiu -- Lagrangian reduction, the Euler-Poincaré equations, and semidirect products
  • Y. Eliashberg and M. Gromov -- Lagrangian intersection theory: Finite-dimensional approach
  • A. Gabrielov and A. Khovanskii -- Multiplicity of a Noetherian intersection
  • Yu. I. Manin -- Sixth Painlevé equation, universal elliptic curve, and mirror of \({\mathbf P}^2\)
  • Ya. G. Sinai -- Convex hulls of random processes
  • O. Viro -- Mutual position of hypersurfaces in projective space
  • A. Weinstein and P. Xu -- Hochschild cohomology and characteristic classes for star-products
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