** FILE ** In this Monday, Feb. 6, 2012 file photo, Palestinian President Mahmoud Abbas, left, shakes hands with Hamas leader Khaled Mashaal, right, as the then Emir of Qatar, Sheik Hamad bin Khalifa Al Thani, looks on after signing an agreement in Doha, Qatar. The explosions rocking the Gaza Strip may seem far removed from the flashy cars and skyscrapers of ultra-rich Qatar, but efforts to end fighting between Hamas and Israel could hinge on how the tiny Gulf state wields its influence over a militant group with few friends left. (AP Photo/Osama Faisal, File)