@Olivier5,
Whether or not Hollande felt it unsavory to cut a deal with Russia, he had to if his goal of destroying ISIS is to be realized. I'm sure he was willing to go it alone if France was capable of pulling it off alone, but it is not.
It's a said state of affairs when a US ally must deal with Putin to obtain justice for his people and protect his nation.
There was a time when even the suggestion of such a thing would have had Congress boiling over and a US president would have immediately jumped to France's side, if only to keep it from dealing with Russia. My how times have changed.
I don't think the fact that France is dealing with Putin is going to persuade Obama to take any action he was not previously inclined to take. I would imagine that he has at least a couple of advisers who are not members of the West Wing staff who are telling him he can't let Putin use this as a way to drive a wedge between NATO members, but there will be plenty in the White House telling him what he wants to hear.
I'm not sure what Hollande will be specifically asking of him when they meet (is it next week?) but if it has anything to do with US ground troops I would be very surprised if he comes away with what he's asked for.
An increase in shared intelligence is a guaranteed take-away, and it's probably already taken place. Communication and logistical support is probably also an area where the two can agree, but I would not expect to see a significant increase in airstrikes and with Russia pitching in, Hollande may not even need such a promise.
It's difficult to imagine how ISIS is to be seriously taken out without the involvement of ground troops. Has there been any indication that France is willing to commit such troops to the effort? Clearly, if it isn't willing to go that far, there is zero chance America will.
Perhaps he will be looking for the US to join it's considerable influence with the Arab states to France's so that a deal for Arab/Muslim ground troops entering the fray can be made.
So far Obama has not been willing to meet the requests of the Kurds for arms which I presume has something to do with Turkey. France could though. I would think they have the better argument to make to an unhappy Turkey: " The bastards attacked us and killed our people. We are going to take them out. Let us arm the Kurds or commit your own ground troops to the fight."
I suppose the argument of whether or not an air campaign alone can achieve the West's ostensible goal of destroying ISIS will be tested, but I think it will be settled that it cannot. Of course if all restraints are lifted and anyone is prepared to cause a Biblical proportioned rain of bombs to fall on ISIS strongholds, it would probably do the trick but the collateral damage will be significant. Our pilots are already flying sorties under restrictive Rules of Engagement and once again, this is due to Obama's severe aversion to collateral damage. I'm not, by any means a military expert but based on what I've read and heard it seems to me that ground force involvement (and significantly more than a limited Special Forces presence) will be required.
Having twice run anti-war presidential campaigns and not allowing any consideration to get in the way of a full retreat from Iraq, (Not even the rise of ISIS) Obama is not likely to want to be starting a new war in the region, particularly since he may have to waffle on Afghanistan. He seems bound and determined to end his presidency having earned the Nobel Peace Prize prematurely awarded to him at the beginning of his first term, and I would not be surprised if he's fine with France finding it's assistance elsewhere. If it turns out that the job just can't get done without the US participating in a much more significant role than it is playing now, I can see him trying to drag out his commitment until the matter can be turned over to a new president.
Remember he gave the OK to begin very limited air strikes with great reluctance and only after the political pressure generated from millions of Americans watching Jihadi Johnny cutting of an American journalist's head became too intense to ignore.
If this wasn't so serious a matter it would be a kick watching the geo-politics of this thing play out. It will still be fascinating and likely frustrating.