Differential Topology, Infinite-dimensional Lie Algebras and Applications: D.B.Fuchs 60th Anniversary Collection (American Mathematical Society Transl

Differential Topology, Infinite-dimensional Lie Algebras and Applications: D.B.Fuchs 60th Anniversary Collection (American Mathematical Society Transl

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Description

This volume presents contributions by leading experts in the field. The articles are dedicated to D.B. Fuchs on the occasion of his 60th birthday. Contributors to the book were directly influenced by Professor Fuchs and include his students, friends, and professional colleagues. In addition to their research, they offer personal reminicences about Professor Fuchs, giving insight into the history of Russian mathematics. The main topics addressed in this unique work are infinite-dimensional Lie algebras with applications (vertex operator algebras, conformal field theory, quantum integrable systems, etc.) and differential topology. The volume provides an excellent introduction to current research in the field.

Contents

First steps of local symplectic algebra by V. I. Arnold Whittaker functions on quantum groups and $q$-deformed Toda operators by P. Etingof Integrable hierarchies and Wakimoto modules by B. Feigin and E. Frenkel On generalized Kostka polynomials and the quantum Verlinde rule by B. Feigin and S. Loktev Semi-infinite flags. I. Case of global curve $\mathbb P^1$ by M. Finkelberg and I. Mirkovic Semi-infinite Flags. II. Local and global intersection cohomology of quasimaps' spaces. by B. Feigin, M. Finkelberg, A. Kuznetsov, and I. Mirkovic Chiral de Rham complex. II by F. Malikov and V. Schechtman On algebraic equations satisfied by hypergeometric solutions of the qKZ equation. by E. Mukhin and A. Varchenko Deforming the Lie algebra of vector fields on ${S}^1$ inside the Lie algebra of pseudodifferential symbols on ${S}^1$ by V. Ovsienko and C. Roger Algebras of curvature forms on homogeneous manifolds by A. Postnikov, B. Shapiro, and M. Shapiro Noncommutative rational functions and Farber's invariants of boundary links by V. Retakh, C. Reutenauer, and A. Vaintrob Remarks on the geometry of exact transverse line fields by S. Tabachnikov Formality conjectures for chains by B. Tsygan On finite order invariants of triple point free plane curves by V. A. Vassiliev Appendix. Personal notes by A. Schwarz, A. Sossinski, C. Roger, B. Feigin, S. Tabachnikov, and A. Astashkevich.

Product Details

  • ISBN13: 9780821820322
  • Format: Hardback
  • Number Of Pages: 313
  • ID: 9780821820322
  • ISBN10: 082182032X

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