Infinite Dimensional Groups and Manifolds
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Edited by:
About this book
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.
Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of important themes of research at the forefront of mathematics and theoretical physics.
Author / Editor information
Tilmann Wurzbacher is Professor at the Mathematics Department of the University of Metz, France.
Topics
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Frontmatter
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Table of Contents
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Lie groups of germs of analytic mappings
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The flow completion of the Burgers equation
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Enumerative geometry and knot invariants
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Gerbes, (twisted) K-theory, and the supersymmetricWZW model
93 -
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Current groups for non-compact manifolds and their central extensions
109 -
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Traces and characteristic classes on loop spaces
185 -
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New classical limits of quantum theories
213
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