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Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs’ 60th Anniversary Collection
About this Title
Alexander Astashkevich, Renaissance Technologies, East Setauket, NY and Serge Tabachnikov, University of Arkansas, Fayetteville, AR, Editors. Translated by various names
Publication: American Mathematical Society Translations: Series 2
Publication Year:
1999; Volume 194
ISBNs: 978-0-8218-2032-2 (print); 978-1-4704-3405-2 (online)
DOI: https://doi.org/10.1090/trans2/194
MathSciNet review: MR1729355
MSC: Primary 00B30; Secondary 17-06
ReadershipTable of Contents
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Front/Back Matter
Chapters
- V. I. Arnold – First steps of local symplectic algebra
- Pavel Etingof – Whittaker functions on quantum groups and $q$-deformed Toda operators
- Boris Feigin and Edward Frenkel – Integrable hierarchies and Wakimoto modules
- B. Feigin and S. Loktev – On generalized Kostka polynomials and the quantum Verlinde rule
- Michael Finkelberg and Ivan Mirković – Semi-infinite flags. I. Case of global curve $\mathbb {P}^1$
- Boris Feigin, Michael Finkelberg, Alexander Kuznetsov and Ivan Mirković – Semi-infinite flags. II. Local and global intersection cohomology of quasimaps’ spaces
- Fyodor Malikov and Vadim Schechtman – Chiral de Rham complex. II
- E. Mukhin and A. Varchenko – On algebraic equations satisfied by hypergeometric solutions of the qKZ equation
- V. Ovsienko and C. Roger – Deforming the Lie algebra of vector fields on $S^1$ inside the Lie algebra of pseudodifferential symbols on $S^1$
- Alexander Postnikov, Boris Shapiro and Mikhail Shapiro – Algebras of curvature forms on homogeneous manifolds
- Vladimir Retakh, Christophe Reutenauer and Arkady Vaintrob – Noncommutative rational functions and Farber’s invariants of boundary links
- Serge Tabachnikov – Remarks on the geometry of exact transverse line fields
- B. Tsygan – Formality conjectures for chains
- V. A. Vassiliev – On finite order invariants of triple point free plane curves
- Albert Schwarz, Alexei Sossinsky, Claude Roger, Boris Feigin, Sergei Tabachnikov and Alexander Astashkevich – Appendix. Personal notes