WHO WON?…According to ABC, debate viewers judged Cheney the winner 43%-35% (with the rest judging it a tie).
A CBS poll of uncommitted voters shows Edwards winning 41%-28%.
Those are the only two real polls I can find (although there are loads of online pseudo-polls out there as well).
ABC noted that more Republicans watched the debate than Democrats, which mostly explains Cheney’s victory in their poll (it was just a straight survey of registered voters who watched the debate). If you correct for that, they show it as a tie. The CBS poll included only uncommitted voters and was sharply favorable to Edwards.
In summary, then, it looks like Edwards won. Not as decisively as Kerry did last Thursday, but a win nonetheless.