English Explanatory Dictionary

Atiyah-Singer index theorem

English dictionary entry

Meanings

name
  1. 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).

Word forms

Atiyah-Singer index theorem

Etymology

Proved by Michael Atiyah and Isadore Singer in 1963.

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