This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a long-standing tradition of the seminar, which originated in 1965.
Hyperelliptic Kleinian functions and applications by V. M. Buchstaber, V. Z. Enolskii, and D. V. Leikin Functionals of the Peierls-Frohlich type and the variational principle for the Whitham equations by B. Dubrovin Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples by I. A. Dynnikov An invariant of integral homology 3-spheres which is universal for all finite type invariants by T. Q. Le Krichever-Novikov algebras and the cohomology of the algebra of meromorphic vector fields by D. V. Millionshchikov Exactly solvable two-dimensional Schrodinger operators and Laplace transformations by S. P. Novikov and A. P. Veselov Modified Novikov-Veselov equation and differential geometry of surfaces by I. A. Taimanov Supermanifold forms and integration. A dual theory by T. Voronov On hyperplane sections of periodic surfaces by A. Zorich.