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I want to ask what materials or books can I use to learn the proof of Atiyah-Singer index theorem? I hope such material contains enough preliminaries and background instead of proving the theorem directly.

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marked as duplicate by 5PM, Micah, Stefan Hansen, Erick Wong, Rahul Feb 13 '13 at 7:00

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functional analysis specially theory of fredholm operators,theory of heat equation and lots of riemannnian geometry

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