An application of Guillemin-Abreu theory to a non-abelian group action |
| |
| Authors: | Aleksis Raza |
| |
| Institution: | Risk & Quantitative Analysis Group, Credit Suisse, One Cabot Square, London E14 4QJ, United Kingdom |
| |
| 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. |
| |
| Keywords: | primary 53B35 secondary 53D20 |
| 本文献已被 ScienceDirect 等数据库收录！ |
