Infinite Dimensional Groups and Manifolds / / ed. by Tilmann Wurzbacher.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
• MitwirkendeR: Glöckner, Helge,; Khesin, Boris A.,; Mariño, Marcos,; Michor, Peter W.,; Mickelsson, Jouko,; Neeb, Karl-Hermann,; Paycha, Sylvie,; Rajeev, S. G.,; Rosenberg, Steven,
• HerausgeberIn: Wurzbacher, Tilmann,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2008]; ©2004
• Year of Publication: 2008
• Language: English
• Series: IRMA Lectures in Mathematics and Theoretical Physics ; 5
• Physical Description: 1 online resource (248 p.)

Dieser Band beinhaltet eine Sammlung wissenschaftlicher Forschungsbeiträge zu unendlich-dimensionalen Gruppen und Mannigfaltigkeiten in der Mathematik und Quantenphysik.

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