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The Kirwan map, equivariant Kirwan maps, and their kernels:

Jeffrey, Lisa C. ; Mare, Augustin-Liviu ; Woolf, Jonathan M.
Journal für die reine und angewandte Mathematik (Crelles Journal).  2005 (2005)  589 - p. 105-127 , 2005
Link: https://doi.org/10.1515/crll.2005.2005.589.105