The intriguing politics of the New York governor's race, which still has nine months to go, took on much sharper definition yesterday when the Republican billionaire Tom Golisano announced that he would not run. The absence of Mr. Golisano and his huge personal fortune, with which he could have swamped the race with commercials, was seen as giving a boost to the candidacy of former Massachusetts Gov. William F. Weld, who faces three others seeking the Republican nomination. Mr. Golisano, 63, a Rochester entrepreneur and the owner of the Buffalo Sabres hockey team, had a reputation as the most feisty...