Infinite dimensional groups and manifolds

Tilman Wurzbacher311018186X, 9783110181869, 9783110200010

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 :
Preface……Page 6
Table of Contents……Page 10
Lie groups of germs of analytic mappings……Page 12
The flow completion of the Burgers equation……Page 28
Enumerative geometry and knot invariants……Page 38
Gerbes, (twisted) K-theory, and the supersymmetric WZW model……Page 104
Current groups for non-compact manifolds and their central extensions……Page 120
Traces and characteristic classes on loop spaces……Page 196
New classical limits of quantum theories……Page 224