KnowraAtiyah–Singer index theoremLinked fromLinked fromThe 7 pages that link to Atiyah–Singer index theorem, each with the reason it gives.All 7Broader topic 1Related 5Narrower topic 1Characteristic classRelated: Its topological formula uses characteristic classes of tangent and auxiliary bundles.Elliptic operatorRelated: It reveals that elliptic solvability carries global information not visible in local estimates.Hirzebruch–Riemann–Roch theoremRelated: It places Hirzebruch’s result within the broader theory of index formulas.Grothendieck–Riemann–Roch theoremRelated: The algebraic theorem is a close counterpart and a key ingredient in the index theorem’s history.Michael AtiyahBroader topic: Atiyah and Isadore Singer proved this theorem, linking analysis and topology.Baum–Connes conjectureRelated: It is a central model for the conjecture’s passage from geometry to an analytic invariant.Fredholm theoryNarrower topic: Fredholm indices connect analytic solvability to topology in differential geometry.