American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1997; 255 pp; hardcover Volume: 180 ISBN10: 0821808079 ISBN13: 9780821808078 List Price: US$108 Member Price: US$86.40 Order Code: TRANS2/180
 "We were fortunate. We studied under Arnold. We moved in his orbit and had the opportunity to discuss with him everything under the sun. For every one of us this was a rare gift, a great good fortune in our lives." from the Introduction Leading mathematician and expert teacher, V. I. Arnold turned 60 in June of 1997. This volume contains a selection of original papers prepared for the occasion of this 60th anniversary by former students and other participants in Arnold's Moscow seminar. A weekly event since the mid1960s, this seminar and its participants have been inspired by Arnold's creative ideas and universal approach to mathematics. The papers in this volume reflect Arnold's wide range of interests and his scientific contributions, including singularity theory, symplectic and contact geometry, mathematical physics, and dynamical systems. The spirit of this work is consistent with Arnold's view of mathematics, connecting different areas of mathematics and theoretical physics. The book is rich in applications and geometrical in nature. Readership Graduate students, research mathematicians and theoretical physicists interested in singularity theory, symplectic and contact geometry, topological field theory and dynamical systems. Table of Contents  J. W. Bruce and V. M. Zakalyukin  On the geometry of caustics
 Yu. V. Chekanov  Lagrangian embeddings and Lagrangian cobordism
 S. Chmutov and V. Goryunov  Polynomial invariants of Legendrian links and plane fronts
 G. Felder, V. Tarasov, and A. Varchenko  Solutions of the elliptic qKZB equations and Bethe ansatz I
 A. Fialowski and D. Fuchs  Singular deformations of Lie algebras. Example: Deformations of the Lie algebra \(L_1\)
 S. Finashin and E. Shustin  On imaginary plane curves and spin quotients of complex surfaces by complex conjugation
 A. Givental  Stationary phase integrals, quantum toda lattices, flag manifolds and the mirror conjecture
 S. M. GuseinZade  On a problem of B. Teissier
 Yu. Ilyashenko  Embedding theorems for local maps, slowfast systems and bifurcation from MorseSmale to SmaleWilliams
 M. Kazaryan  Topological invariants of fiber singularities
 B. A. Khesin  Informal complexification and Poisson structures on moduli spaces
 A. Khovanskiĭ  Consistent partitions of polytopes and polynomial measures
 S. K. Lando  On primitive elements in the bialgebra of chord diagrams
 S. M. Natanzon  Spaces of meromorphic functions on Riemann surfaces
 L. Polterovich  Hamiltonian loops and Arnold's principle
 I. Scherbak  Singularities in the presence of symmetries
 V. D. Sedykh  Discrete versions of the fourvertex theorem
 M. B. Sevryuk  Excitation of elliptic normal modes of invariant tori in Hamiltonian systems
 B. Shapiro, M. Shapiro, and A. Vainshtein  Ramified coverings of \(S^2\) with one degenerate branching point and enumeration of edgeordered graphs
 S. Tabachnikov  On zeros of the Schwarzian derivative
 V. A. Vassiliev  Stratified PicardLefschetz theory with twisted coefficients
