Olympic silver medalist American Terrence Trammell posted 12.95, the year's second best time.
Other rivals include France's defending world champion Ladji Doucoure and Cuban Dayron Robles.
The former ran his personal best of 13.06 seconds in 2004 and the latter 13 flat in 2006.
Liu refused to comment on his rivals, who he considers friends.
The men's 110m hurdles heats begin on Wednesday followed by Thursday's semifinal before Friday's final showdown.
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