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Hardcover ISBN:  9780821810842 
Product Code:  TRANS2/185 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433963 
Product Code:  TRANS2/185.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821810842 
eBook ISBN:  9781470433963 
Product Code:  TRANS2/185.B 
List Price:  $340.00 $257.50 
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AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 185; 1998; 182 ppMSC: Primary 17; 57; Secondary 16
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.
ReadershipGraduate students and research mathematicians working in the subject areas.

Table of Contents

Part 1. 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

Part 2. 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

Sergei 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


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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.
Graduate students and research mathematicians working in the subject areas.

Part 1. 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

Part 2. 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

Sergei 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