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.
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