This sounds like a job for Regina, our resident atty. You do have a legitimate complaint here, and your installer needs to honor his installation work. You never stated this was done by a contractor until now, or I would have pursued this tact more directly.
The installer is responsible for any adhesive which is left on the floor surface. If you asked him to clean the floor 3 times and he didn't get the glue up, then it isn't your fault necessarily that the flooring was damaged when you tried to remove the glue they shouldn't have put there in the first place.
Regina will have some specific advice, but I assume you have already paid for the job in full. You need to start out nice, as honey always works better than vinegar at first. Ask them WHEN they are going to come out and fix your floor. NOT IF< BUT WHEN.
When they say they won't, make sure you have a conversation with the owner of the company. If he will not take care of the issue, put your request in writing with a specific deadline for an amicable result. If no progress is made, send a demand letter for settlement or repair, and send a copy to your state's attorney general, your city's chamber of commerce, and the better business bureau.
The whole time, EXPECT the installer to fix their error. Do not accept shame for trying to clean their glue mess after you had them clean their own installation 3 times. They should have seen the glue before and taken care of it.