An application of Guillemin-Abreu theory to a non-abelian group action |
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| Authors: | Aleksis Raza |
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| Affiliation: | Risk & Quantitative Analysis Group, Credit Suisse, One Cabot Square, London E14 4QJ, United Kingdom |
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| Abstract: | This 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. |
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| Keywords: | primary, 53B35 secondary, 53D20 |
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