NEW YORK (MarketWatch) -- The U.S. dollar turned down against the euro on Thursday morning after the U.S. stock market opened in positive territory, a change from the direction futures pointed to. The euro [c: cur_eurusd] turned back up to $1.4436, from $1.4421 in earlier action and $1.4422 on Tuesday. The dollar index DXY -0.14% , which measures the greenback against a basket of six major currencies, traded at 73.936, down from as high as 74.111 before U.S. equity markets opened and versus 73.794 in North American trade late Wednesday.