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Apr 19, 2010 at 9:56 comment added Don Stanley I guess there are some dimension restrictions that make my last suggestion not possible in general.
Apr 19, 2010 at 9:32 comment added Don Stanley Is it possible to do (3) fiberwise over the image of the moment map? So basically constructing the Lefschetz pencil on each symplectic reduction in a way that only changes a "little bit" as you change the values of the moment map. (I wasn't sure if this comment is appropriate for MO or if I should have written you personally.)
Apr 14, 2010 at 15:15 history edited Tim Perutz CC BY-SA 2.5
Typos; changed "invariant" to "equivariant"
Apr 14, 2010 at 14:08 history answered Tim Perutz CC BY-SA 2.5