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An application of Guillemin–Abreu theory to a non-abelian group action

By Aleksis Raza


AbstractThis note is a step towards demonstrating the benefits of a symplectic approach to studying equivariant Kähler geometry. We apply a local differential geometric framework from Kähler toric geometry due to Guillemin and Abreu to the case of the standard linear SU(n) action on Cn∖{0}. Using this framework we (re)construct certain Kähler metrics from data on moment polytopes

Publisher: Elsevier B.V.
Year: 2007
DOI identifier: 10.1016/j.difgeo.2006.08.002
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