Automorphisms of multiplicity free Hamiltonian manifolds

Knop F (2011)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2011

Journal

Publisher: American Mathematical Society

Book Volume: 24

Pages Range: 567-601

Journal Issue: 2

URI: http://www.algeo.math.fau.de/fileadmin/algeo/users/knop/papers/Delzant.html

DOI: 10.1090/S0894-0347-2010-00686-8

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 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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How to cite

APA:

Knop, F. (2011). Automorphisms of multiplicity free Hamiltonian manifolds. Journal of the American Mathematical Society, 24(2), 567-601. https://dx.doi.org/10.1090/S0894-0347-2010-00686-8

MLA:

Knop, Friedrich. "Automorphisms of multiplicity free Hamiltonian manifolds." Journal of the American Mathematical Society 24.2 (2011): 567-601.

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