Automorphisms of multiplicity free Hamiltonian manifolds
Symplectic Geometry
2011-02-03 v3 Differential Geometry
Representation Theory
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.
Keywords
Cite
@article{arxiv.1002.4256,
title = {Automorphisms of multiplicity free Hamiltonian manifolds},
author = {Friedrich Knop},
journal= {arXiv preprint arXiv:1002.4256},
year = {2011}
}
Comments
v1: 42 pages; v2: 42 pages, abstract added, minor changes; v3: 43 pages, Corollary 11.4 added, minor changes