What is Troitsky Line?

The Troitsky Line is a concept used in endgame theory of chess, specifically involving an endgame with a knight and two pawns against a lone king. The line, named after Russian chess analyst Alexey Troitsky, defines a boundary on the chessboard. If the defending king can move in front of this boundary, the game is theoretically a draw, assuming perfect play from both sides. Otherwise, the side with the knight and two pawns can force a win. The line describes the optimal position of the defending king, and varies depending on the exact position of the pawns and knight.