Infinite Dimensional Groups and Manifolds

1. Auflage 2004
ISBN: 978-3-11-018186-9
Verlag: De Gruyter

Buch, Englisch, Band 5, 248 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 448 g

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.

Zielgruppe

Research Mathematicians, Theoretical Physicists, Graduate Students, Academic Libraries

Autoren/Hrsg.

Wurzbacher, Tilmann

Fachgebiete

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

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)

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