Atiyah-Singer Index Theorem Definition
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).
Wiktionary
Origin of Atiyah-Singer Index Theorem
Proved by Michael Atiyah and Isadore Singer in 1963.
From Wiktionary
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