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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
Front Cover for Differential Topology, Infinite-Dimensional Lie Algebras, and Applications
Available Formats:
Hardcover ISBN: 978-0-8218-2032-2
Product Code: TRANS2/194
313 pp 
List Price: $138.00
MAA Member Price: $124.20
AMS Member Price: $110.40
Electronic ISBN: 978-1-4704-3405-2
Product Code: TRANS2/194.E
313 pp 
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $207.00
MAA Member Price: $186.30
AMS Member Price: $165.60
Front Cover for Differential Topology, Infinite-Dimensional Lie Algebras, and Applications
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  • Front Cover for Differential Topology, Infinite-Dimensional Lie Algebras, and Applications
  • Back Cover for Differential Topology, Infinite-Dimensional Lie Algebras, and Applications
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
Available Formats:
Hardcover ISBN:  978-0-8218-2032-2
Product Code:  TRANS2/194
313 pp 
List Price: $138.00
MAA Member Price: $124.20
AMS Member Price: $110.40
Electronic ISBN:  978-1-4704-3405-2
Product Code:  TRANS2/194.E
313 pp 
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $207.00
MAA Member Price: $186.30
AMS Member Price: $165.60
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1941999
    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
     
     
    • Cover
    • Frontispiece
    • Title page
    • Copyright page
    • Contents
    • Preface
    • 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 ℙ¹
    • 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 𝑆¹ inside the Lie algebra of pseudodifferential symbols on 𝑆¹
    • 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
    • Back Cover
  • Request Review Copy
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Advances in the Mathematical Sciences
Volume: 1941999
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.

  • Cover
  • Frontispiece
  • Title page
  • Copyright page
  • Contents
  • Preface
  • 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 ℙ¹
  • 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 𝑆¹ inside the Lie algebra of pseudodifferential symbols on 𝑆¹
  • 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
  • Back Cover
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