Here's a tut on how to transfer a morphed V4 to Genesis 2 (make sure you Zero V4's joints before you export!).

http://3doutlaw.com/home/wp-content/uploads/Copying-body-morph-from-V4-to-Genesis.pdf

As far as Genesis 3 goes, it is not fully compatible with Poser; not compatible at all, actually unless you convert it to Tri-Ax rigging in Studio, and then the expressions still don't work in Poser. Apparently there is no V4 clone included with Genesis 3, (there is a commercial one at DAZ), but you can should be able to transfer the Genesis 2 morph from above to Genesis 3; there should be guidance here (not using Genesis 3, I haven't tried it, myself)...

http://www.daz3d.com/forums/discussion/24093/transferring-morphs-from-genesis-to-g2m-g2f-and-from-g2m-g2f-to-genesis-now-with-clones/p1

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