Infinite Dimensional Groups and Manifolds

✍ Scribed by Tilmann Wurzbacher (editor)

Publisher: De Gruyter
Year: 2004
Tongue: English
Leaves: 258
Series: IRMA Lectures in Mathematics and Theoretical Physics; 5
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Frontmatter
Table of Contents
Lie groups of germs of analytic mappings
The flow completion of the Burgers equation
Enumerative geometry and knot invariants
Gerbes, (twisted) K-theory, and the supersymmetricWZW model
Current groups for non-compact manifolds and their central extensions
Traces and characteristic classes on loop spaces
New classical limits of quantum theories

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