Wurzbacher Infinite Dimensional Groups and Manifolds

1. Auflage 2008
ISBN: 978-3-11-020001-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 5, 256 Seiten

Reihe: IRMA Lectures in Mathematics and Theoretical Physics

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.

Autoren/Hrsg.

Wurzbacher, Tilmann

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Algebra
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

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

Über Autor(innen)

Tilmann Wurzbacher is Professor at the Mathematics Department of the University of Metz, France.