Topics in Quantum Groups and Finite-Type Invariants ：Mathematics at the Independent University of Moscow ( American Mathematical Society Translations - Series 2 )

Publication subTitle ：Mathematics at the Independent University of Moscow

Publication series ：American Mathematical Society Translations - Series 2

Author： B. Feigin;V. Vassiliev  

Publisher： American Mathematical Society‎

Publication year： 1998

E-ISBN: 9781470433963

P-ISBN(Hardback):  9780821810842

Subject： O152.5 Lie group

Keyword： 暂无分类

Language： ENG

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Topics in Quantum Groups and Finite-Type Invariants

Description

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.

Chapter

Cover

Title page

Copyright page

Contents

Foreword: Mathematics at the Independent University of Moscow

Part 1. Algebra

Semi-infinite cohomology of quantum groups. II

Symmetry groups of regular polyhedra over finite fields

Coordinate ring of the quantum Grassmannian and intertwiners for the representations of Sklyanin algebras

Vector bundles on an elliptic curve and Sklyanin algebras

The singular supports of IC sheaves on spaces of quasimaps are irreducible

Cohomology of the Lie algebras of differential operators: Lifting formulas

Part 2. Geometry

On a higher analog of the linking number of two curves

Topological complexity of 𝑇²-bundles over the circle

Tutte decomposition for graphs, weighted graphs, and symmetric matrices

Homology isomorphism of the complex of 2-connected graphs and the graph-complex of trees

On invariants and homology of spaces of knots in arbitrary manifolds

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