Differential topology, infinite-dimensional lie algebras and applications : D.B.Fuchs' 60th anniversary collection / Alexander Astashkevich, Serge Tabachnikov editors - Providence, R.I. : American Mathematical Society, c1999. - x, 313 p. : ill. ; 26 cm. - American Mathematical Society translations, ser. 2, v. 194 0065-9290 ; Advances in the mathematical sciences ; 44 .

Includes bibliographical references.

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. Índice: 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 P1̂ 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.-- ... Etc.


Topología diferencial
Lie, Algebras de

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