The Boston Braves (later known as the Milwaukee Braves, and then the Atlanta Braves) were an American baseball team that existed in the 20th century. One of their players was Eddie Stanky.
In 2372, Benjamin Sisko watched a 1949 baseball game between the Braves and the Brooklyn Dodgers in Deep Space 9's holosuites. Jake Sisko later joined him. (DS9 novel: The 34th Rule)
In 2375, Jake wore an Atlanta Braves baseball cap during the Niners' training session for their game against the Logicians. (DS9 episode: "Take Me Out to the Holosuite")