Automorphisms of multiplicity free Hamiltonian manifolds

@inproceedings{Knop2011AutomorphismsOM,
  title={Automorphisms of multiplicity free Hamiltonian manifolds},
  author={Friedrich Knop},
  year={2011}
}
  • Friedrich Knop
  • Published 2011
  • Mathematics
  • Let M be a multiplicity free Hamiltonian manifold M for a connected compact Lie group K (not necessarily abelian). Let P be the momentum polytope of M. We calculate the automorphism of M as a sheaf over P and show that all higher cohomology groups of this sheaf vanish. From this, and a recent theorem of Losev, we deduce a conjecture of Delzant: the momentum polytope and the principal isotropy group determine M up to isomorphism. Moreover, we give a criterion for when a polytope and a group are… CONTINUE READING

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