Here is the problem:
I'm renting the apartment and the tear wouldn't have happened if the flooring had been installed properly to begin with, so I'm not looking for perfection here. I just want my security deposit back when the time comes. I've read to warm the area with a hair dyer, smush it together as well as I can, use some kind of adhesive, then weight it for a day or so. Is there anything you'd like to add to that or dispute? Is there a particular grout or adhesive you'd recommend, particularly one likely to be available at Ace Hardware or Lowes?