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Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs’ 60th Anniversary Collection
 
Edited by: Alexander Astashkevich Renaissance Technologies, East Setauket, NY
Serge Tabachnikov University of Arkansas, Fayetteville, AR
Differential Topology, Infinite-Dimensional Lie Algebras, and Applications
Hardcover ISBN:  978-0-8218-2032-2
Product Code:  TRANS2/194
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3405-2
Product Code:  TRANS2/194.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-2032-2
eBook: ISBN:  978-1-4704-3405-2
Product Code:  TRANS2/194.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Differential Topology, Infinite-Dimensional Lie Algebras, and Applications
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Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs’ 60th Anniversary Collection
Edited by: Alexander Astashkevich Renaissance Technologies, East Setauket, NY
Serge Tabachnikov University of Arkansas, Fayetteville, AR
Hardcover ISBN:  978-0-8218-2032-2
Product Code:  TRANS2/194
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3405-2
Product Code:  TRANS2/194.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-2032-2
eBook ISBN:  978-1-4704-3405-2
Product Code:  TRANS2/194.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1941999; 313 pp
    MSC: Primary 14; 17; 58

    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.

    Readership

    Graduate students, research mathematicians, and physicists interested in algebraic geometry; theoretical physicists.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 1941999; 313 pp
MSC: Primary 14; 17; 58

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.

Readership

Graduate students, research mathematicians, and physicists interested in algebraic geometry; theoretical physicists.

  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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