The Atiyah-Singer index theorem

Daniel S. Freed

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arXiv · 2107.03557

The Atiyah-Singer index theorem

Daniel S. Freed

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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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Daniel S. Freed. 2021-07-08. The Atiyah-Singer index theorem. https://arxiv.org/abs/2107.03557

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