Riddonkulous

I am the word that ends the longest game, the final position staking out its claim, I trap the king in every possible square until no move remains and silence fills the air. I am not captured yet I am defeated, the logic of a battle fully completed. I come after patience calculation and art, the culmination of a thinking heart. I need no sword no army and no wall, just sixty four squares and the final call. What am I?