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What is the usefulness in mathematics, I know it can provide topological invariants, any other things?

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    Well, we don't *need* to do anything...2010-10-03
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    I don't see a specific question here.2010-10-03
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    Problems in physics some times, when properly phrased, give rise to problems in pure mathematics, and any mathematical problem will interest some mathematicians, useful or not (and usefulness is also relative). But you probably know this, so you should make the question specific, as Robin Chapman said.2010-10-03

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