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Infinite dimensional groups and manifolds / editor Tilmann Wurzbacher.
- Format:
- Book
- Series:
- IRMA lectures in mathematics and theoretical physics ; 5.
- IRMA lectures in mathematics and theoretical physics ; 5
- Language:
- English
- Subjects (All):
- Infinite-dimensional manifolds.
- Infinite dimensional Lie algebras.
- Differential equations, Partial.
- Quantum field theory.
- Physical Description:
- 1 online resource (260 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Berlin ; New York : Walter de Gruyter, c2004.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Front matter
- 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 supersymmetric WZW model
- Current groups for non-compact manifolds and their central extensions
- Traces and characteristic classes on loop spaces
- New classical limits of quantum theories
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- ISBN:
- 9786613396686
- 9781283396684
- 1283396688
- 9783119162500
- 3119162507
- 9783110200010
- 3110200015
- OCLC:
- 476120287
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