Automorphisms of multiplicity free Hamiltonian manifolds
Abstract
We compute the sheaf of automorphisms of a multiplicity free Hamiltonian manifold over its momentum polytope and show that its higher cohomology groups vanish. Together with a theorem of Losev, arXiv:math/0612561, this implies a conjecture of Delzant: a compact multiplicity free Hamiltonian manifold is uniquely determined by its momentum polytope and its principal isotropy group.
 Publication:

arXiv eprints
 Pub Date:
 February 2010
 arXiv:
 arXiv:1002.4256
 Bibcode:
 2010arXiv1002.4256K
 Keywords:

 Mathematics  Symplectic Geometry;
 Mathematics  Differential Geometry;
 Mathematics  Representation Theory;
 53D20;
 14L30;
 14M27
 EPrint:
 v1: 42 pages