By Andrew Galbraith and Tom Westbrook SHANGHAI/SINGAPORE (Reuters) – Stocks chopped around record peaks on Tuesday, while the dollar was pinned near recent lows, as markets awaited U.S. jobs data and looked ahead to crucial central bank meetings in Europe and United States for guidance on the interest rates outlook. MSCI’s broadest index of Asia-Pacific shares outside Japan touched a three-month peak, before profit-taking in recently strong Chinese markets pulled it 0.4% lower. Aussie stocks hit a record high, while Japan’s Nikkei rose 0.5%. World stocks sat just below Tuesday’s record, howeve…

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