Trudy Mat. Inst. Steklova, 1999, Volume 225

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1999, Volume 225

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Contents

Solitons, geometry, and topology: on the crossroads

Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov

	Sergei Petrovich Novikov (photo)
	From the volume editors V. M. Buchstaber, A. A. Mal'tsev		7
	Topological Problems of the Theory of Asymptotic Curves V. I. Arnol'd		11
	Discrete Analogs of the Darboux–Egorov Metrics A. A. Akhmetshin, Yu. S. Vol'vovskii, I. M. Krichever		21
	A Geometrical Proof of Browder's Result on the Vanishing of the Kervaire Invariant P. M. Akhmet'ev, P. J. Eccles		46
	Coincidence Theory: The Minimizing Problem S. A. Bogatyi, D. L. Gonçalves, H. Zieschang		52
	Meromorphic Transformation to the Birkhoff Standard Form in Small Dimensions A. A. Bolibrukh		87
	Torus Actions and Combinatorics of Polytopes V. M. Buchstaber, T. E. Panov		96
	How to Calculate Homology Groups of Spaces of Nonsingular Algebraic Projective Hypersurfaces V. A. Vassiliev		132
	Bispectral Symmetry, the Weyl Algebra and Differential Operators on Curves G. Wilson		153
	Optimal Arrangement of Finite Point Sets in Riemannian 2-Manifolds P. M. Gruber		160
	On Atypical Values and Local Monodromies of Meromorphic Functions S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández		168
	The Kac–Ward Determinant N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin		177
	Polyhedral and Dihedral Caustics in the $\mathbb R^3$ A. Joets, M. I. Monastyrskii, R. Ribotta		195
	Exterior Homology and Cohomology of Finite Groups A. V. Zarelua		202
	Stochastic Nonlinear Schrödinger Equation. 1. A priori Estimates S. B. Kuksin		232
	On Almost Representations of Groups $\pi\times{\mathbf Z}$ V. M. Manuilov		257
	Algorithmic Classification of 3-Manifolds: Problems and Results S. V. Matveev		264
	Cobordism of Symplectic Manifolds and Asymptotic Expansions J. Morava		276
	Compatible Poisson Structures of Hydrodynamic Type and Associativity Equations O. I. Mokhov		284
	Approximate Inverse Quantum Scattering at Fixed Energy in Dimension 2 R. G. Novikov		301
	Discrete Schrödinger Equation on a Finite Field and Associated Cellular Automaton A. K. Pogrebkov		319
	Borromean Rings and Embedding Obstructions D. Repovš, A. B. Skopenkov		331
	The Weierstrass Representation of Spheres in $\mathbb R^3$, the Willmore Numbers, and Soliton Spheres I. A. Taimanov		339
	Functionals on $l_2(A)$, Kuiper and Dixmier–Douady Type Theorems for $C^*$-Hilbert Modules E. V. Troitskii		362
	The Morse–Novikov Theory of Circle-Valued Functions and Noncommutative Localization M. Farber, A. Ranicki		381
	On Darboux-Integrable Nonlinear Partial Differential Equations S. P. Tsarev		389