Atiyah-Singer index theorem

English

Etymology

Proved by Michael Atiyah and Isadore Singer in 1963.

Proper noun

Atiyah-Singer index theorem

1. (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).