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9783110181869

Infinite Dimensional Groups And Manifolds

by
  • ISBN13:

    9783110181869

  • ISBN10:

    311018186X

  • Format: Paperback
  • Copyright: 2004-08-31
  • Publisher: De Gruyter

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Summary

The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Topics covered are: new classes of Lie groups of mappings, the Burgers equation, the Chern-Weil construction in infinite dimensions, the hamiltonian approach to quantum field theory, and different aspects of large N limits ranging from approximation methods in quantum mechanics to modular forms and string/gauge theory duality. The volume gives an overview of important themes of research at the forefront of mathematics and theoretical physics.

Table of Contents

Lie groups of germs of analytic mappingsp. 1
The flow completion of the Burgers equationp. 17
Enumerative geometry and knot invariantsp. 27
Gerbes, (twisted) K-theory, and the supersymmetric WZW modelp. 93
Current groups for non-compact manifolds and their central extensionsp. 109
Traces and characteristic classes on loop spacesp. 185
New classical limits of quantum theoriesp. 213
Table of Contents provided by Blackwell. All Rights Reserved.

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