Atiyah-Singer index theorem

== English == === Etymology === Proved by Michael Atiyah and Isadore Singer in 1963. === Proper noun === Atiyah-Singer index theorem (differential geometry) A theorem stating that, for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data).