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9780821820322

Differential Topology, Infinite-Dimensional Lie Algebras, and Applications

by ;
  • ISBN13:

    9780821820322

  • ISBN10:

    082182032X

  • Format: Hardcover
  • Copyright: 1999-09-01
  • Publisher: Amer Mathematical Society

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Summary

This volume contains contributions by leading experts in the field, The main topics addressed in this are infinite-dimensional Lie algebras with applications (vertex operator algebras, conformal field theory, quantum integrable systems, etc.) and differential topology.

Table of Contents

First steps of local symplectic algebra
Whittaker functions on quantum groups and $q$-deformed Toda operators
Integrable hierarchies and Wakimoto modules
On generalized Kostka polynomials and the quantum Verlinde rule
Semi-infinite flags. I. Case of global curve $\mathbb P^1$
Semi-infinite Flags. II. Local and global intersection cohomology of quasimaps' spaces
Chiral de Rham complex. II
On algebraic equations satisfied by hypergeometric solutions of the qKZ equation.
Deforming the Lie algebra of vector fields on ${S}^1$ inside the Lie algebra of pseudodifferential symbols on ${S}^1$
Algebras of curvature forms on homogeneous manifolds
Noncommutative rational functions and Farber's invariants of boundary links
Remarks on the geometry of exact transverse line fields
Formality conjectures for chains
On finite order invariants of triple point free plane curves
Appendix. Personal notes
Table of Contents provided by Publisher. All Rights Reserved.

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