American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1998; 182 pp; hardcover Volume: 185 ISBN10: 0821810847 ISBN13: 9780821810842 List Price: US$108 Member Price: US$86.40 Order Code: TRANS2/185
 This volume presents the first collection of articles consisting entirely of work by faculty and students of the Higher Mathematics College of the Independent University of Moscow (IUM). This unique institution was established to train elite students to become research scientists. Covered in the book are two main topics: quantum groups and lowdimensional topology. The articles were written by participants of the Feigin and Vassiliev seminars, two of the most active seminars at the IUM. Readership Graduate students and research mathematicians working in the subject areas. Table of Contents Algebra  S. M. Arkhipov  Semiinfinite cohomology of quantum groups. II
 David Erschler  Symmetry groups of regular polyhedra over finite fields
 B. L. Feĭgin and A. V. Odesskiĭ  Coordinate ring of the quantum Grassmannian and intertwiners for the representations of Sklyanin algebras
 B. L. Feĭgin and A. V. Odesskiĭ  Vector bundles on an elliptic curve and Sklyanin algebras
 M. Finkelberg, A. Kuznetsov, and I. Mirković  The singular supports of IC sheaves on spaces of quasimaps are irreducible
 Boris Shoikhet  Cohomology of the Lie algebras of differential operators: Lifting formulas
Geometry  P. M. Akhmetiev  On a higher analog of the linking number of two curves
 S. S. Anisov and S. K. Lando  Topological complexity of \(T^2\)bundles over the circle
 S. K. Lando  Tutte decomposition for graphs, weighted graphs, and symmetric matrices
 V. Turchin  Homology isomorphism of the complex of 2connected graphs and the graphcomplex of trees
 V. A. Vassiliev  On invariants and homology of spaces of knots in arbitrary manifolds
