AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Topics in Singularity Theory: V. I. Arnold’s 60th Anniversary Collection
About this Title
A. Khovanskiĭ, University of Toronto, ON, Canada, A. Varchenko, University of North Carolina, Chapel Hill and V. Vassiliev, Steklov Mathematical Institute, Moscow, Russia, Editors
Publication: American Mathematical Society Translations: Series 2
Publication Year:
1997; Volume 180
ISBNs: 978-0-8218-0807-8 (print); 978-1-4704-3391-8 (online)
DOI: https://doi.org/10.1090/trans2/180
MathSciNet review: MR1767108
MSC: Primary 00B30; Secondary 57-06, 58Kxx
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- 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
- Alice Fialowski and Dmitry Fuchs – Singular deformations of Lie algebras. Example: Deformations of the Lie algebra $L_1$
- Sergeĭ Finashin and Eugeniĭ Shustin – On imaginary plane curves and spin quotients of complex surfaces by complex conjugation
- Alexander Givental – Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture
- S. M. Gusein-Zade – On a problem of B. Teissier
- Yu. Ilyashenko – Embedding theorems for local maps, slow-fast systems and bifurcation from Morse-Smale to Smale-Williams
- Maxim È. Kazaryan – Topological invariants of fiber singularities
- Boris 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
- Leonid Polterovich – Hamiltonian loops and Arnold’s principle
- Inna Scherbak – Singularities in the presence of symmetries
- V. D. Sedykh – Discrete versions of the four-vertex 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 edge-ordered graphs
- Serge Tabachnikov – On zeros of the Schwarzian derivative
- Victor A. Vassiliev – Stratified Picard-Lefschetz theory with twisted coefficients