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# The Arnoldfest: Proceedings of a Conference in Honour of V. I. Arnold for his Sixtieth Birthday

### About this Title

**Edward Bierstone**, *University of Toronto, Toronto, ON, Canada*, **Boris Khesin**, *University of Toronto, Toronto, ON, Canada*, **Askold Khovanskii**, *University of Toronto, Toronto, ON, Canada* and **Jerrold E. Marsden**, *California Institute of Technology, Pasadena, CA*, Editors

Publication: Fields Institute Communications

Publication Year:
1999; Volume 24

ISBNs: 978-0-8218-0945-7 (print); 978-1-4704-3048-1 (online)

DOI: https://doi.org/10.1090/fic/024

MathSciNet review: MR1733563

MSC: Primary 00B30

### Table of Contents

**Download chapters as PDF**

**Front/Back Matter**

**Chapters**

- V. Arnold – From Hilbert’s superposition problem to dynamical systems
- Jürgen Moser – Recollections
- V. Arnold – Symplectization, complexification and mathematical trinities
- V. Arnold – Topological problems in wave propagation theory and topological economy principle in algebraic geometry
- Mark Alber, Gregory Luther, Jerrold Marsden and Jonathan Robbins – Geometry and control of three-wave interactions
- Edward Bierstone and Pierre Milman – Standard basis along a Samuel stratum, and implicit differentiation
- James Damon – A global weighted version of Bezout’s theorem
- Alexander Degtyarev and Viatcheslav Kharlamov – Real Enriques surfaces without real points and Enriques-Einstein-Hitchin 4-manifolds
- W. Ebeling and S. Gusein-Zade – On the index of a vector field at an isolated singularity
- David Ebin and Gerard Misiołek – The exponential map on $\mathcal {D}^s_\mu$
- Michael Freedman – Zeldovich’s neutron star and the prediction of magnetic froth
- Kenji Fukaya and Kaoru Ono – Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds
- Andrei Gabrielov – Multiplicity of a zero of an analytic function on a trajectory of a vector field
- Alexander Givental – Singularity theory and symplectic topology
- V. Goryunov and S. Lando – On enumeration of meromorphic functions on the line
- H. Hofer and E. Zehnder – Pseudoholomorphic curves and dynamics
- Yu. Ilyashenko and V. Kaloshin – Bifurcation of planar and spatial polycycles: Arnold’s program and its development
- V. Kharlamov, S. Orevkov and E. Shustin – Singularity which has no $M$-smoothing
- Boris Khesin and Alexei Rosly – Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces
- A. Khovanskii – Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations
- William Langford and Kaijun Zhan – Interactions of Andronov-Hopf and Bogdanov-Takens bifurcations
- E. Mukhin and A. Varchenko – Solutions of the qKZB equation in tensor products of finite dimensional modules over the elliptic quantum group $E_{\tau ,\eta }sl_2$
- S. Novikov – Schrodinger operators on graphs and symplectic geometry
- Michael Rudnev and Stephen Wiggins – On the dominant Fourier modes in the series associated with separatrix splitting for an a-priori stable, three degree-of-freedom Hamiltonian system
- V. Vassiliev – Homology of $i$-connected graphs and invariants of knots, plane arrangements, etc.
- V. Vladimirov and K. Ilin – On Arnold’s variational principles in fluid mechanics
- Sergei Yakovenko – On functions and curves defined by ordinary differential equations
- Y. Yomdin – Global finiteness properties of analytic families and algebra of their Taylor coefficients