On the classification of the coadjoint orbits of the Sobolev Bott-Virasoro group

The purpose of this paper is to give the classification of the Bott-Virasoro coadjoint orbits, with nonzero central charge, in the functional analytic setting of smooth Hilbert manifolds. The central object of the paper is thus the completion of the Bott-Virasoro group with respect to a Sobolev topology, giving rise to a smooth Hilbert manifold and topological group, called the Sobolev Bott-Virasoro group. As a consequence of this approach, analytic and geometric properties of the coadjoint orbits are studied. (C) 2008 Elsevier Inc. All rights reserved.


Published in:
Journal Of Functional Analysis, 256, 2815-2841
Year:
2009
ISSN:
0022-1236
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-01-28


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