**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1998; 182 pp; Hardcover

MSC: Primary 17; 57; Secondary 16

Print ISBN: 978-0-8218-1084-2

Product Code: TRANS2/185

Print ISBN: 978-0-8218-1084-2

Product Code: TRANS2/185

List Price: $114.00

Individual Member Price: $91.20

**Electronic ISBN: 978-1-4704-3396-3
Product Code: TRANS2/185.E**

List Price: $114.00

Individual Member Price: $91.20

# Topics in Quantum Groups and Finite-Type Invariants: Mathematics at the Independent University of Moscow

Share this page *Edited by *
*B. Feigin; V. Vassiliev*

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 low-dimensional topology. The articles were written by participants of the Feigin and Vassiliev seminars, two of the most active seminars at the IUM.

#### Table of Contents

# Table of Contents

## Topics in Quantum Groups and Finite-Type Invariants: Mathematics at the Independent University of Moscow

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- Foreword: Mathematics at the Independent University of Moscow ix10
- Part 1. Algebra 116
- Semi-infinite cohomology of quantum groups. II 318
- Symmetry groups of regular polyhedra over finite fields 4358
- Coordinate ring of the quantum Grassmannian and intertwiners for the representations of Sklyanin algebras 5570
- Vector bundles on an elliptic curve and Sklyanin algebras 6580
- The singular supports of IC sheaves on spaces of quasimaps are irreducible 85100
- Cohomology of the Lie algebras of differential operators: Lifting formulas 95110
- Part 2. Geometry 111126
- On a higher analog of the linking number of two curves 113128
- Topological complexity of 𝑇²-bundles over the circle 129144
- Tutte decomposition for graphs, weighted graphs, and symmetric matrices 137152
- Homology isomorphism of the complex of 2-connected graphs and the graph-complex of trees 147162
- On invariants and homology of spaces of knots in arbitrary manifolds 155170
- Back Cover Back Cover1199

#### Readership

Graduate students and research mathematicians working in the subject areas.