By David Henry NEW YORK (Reuters) – The U.S. dollar index recovered after falling on Tuesday as volatile oil prices impacted the euro and markets grappled with the significance of talks between Russia and Ukraine and indications that COVID lockdowns will crimp economic growth in China. The dollar index against major currencies was up less than 0.1% in the New York afternoon as markets awaited statements on Wednesday from the U.S. Federal Reserve after a meeting on monetary policy. The euro was last down less than 0.1% to $1.0933 after having been up nearly 0.5%. The British pound was up 0.2% t…