The Atiyah–Singer index theorem
Daniel S. Freed
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.
Topics & Concepts
Atiyah–Singer index theoremMathematicsIndex (typography)LandmarkPure mathematicsTopology (electrical circuits)Computer scienceCombinatoricsArtificial intelligenceWorld Wide WebAdvanced Operator Algebra ResearchAdvanced Topics in AlgebraHomotopy and Cohomology in Algebraic Topology