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arXiv · 1002.4256

Automorphisms of multiplicity free Hamiltonian manifolds

Friedrich Knop
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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.

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Friedrich Knop. 2010-02-23. Automorphisms of multiplicity free Hamiltonian manifolds. https://doi.org/10.1090/s0894-0347-2010-00686-8

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