The Atiyah–Singer index theorem

Freed, Daniel

doi:10.1090/bull/1747

The Atiyah–Singer index theorem
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Abstract:

The Atiyah–Singer index theorem, a landmark achievement of the early 1960s, brings together ideas in analysis, geometry, and topology. We recount some antecedents and motivations, various forms of the theorem, and some of its implications, which extend to the present.

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