Word.ws English Dictionary

Atiyah-Singer index theorem

Atiyah-Singer index theorem proper noun: 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).

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).

Origin of Atiyah-Singer index theorem

Proved by Michael Atiyah and Isadore Singer in 1963.

Questions about Atiyah-Singer index theorem

What does Atiyah-Singer index theorem mean?
Atiyah-Singer index theorem means 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).
What part of speech is Atiyah-Singer index theorem?
Atiyah-Singer index theorem is a proper noun.

Words near Atiyah-Singer index theorem in the dictionary

  1. Atiuan
  2. Atiuans
  3. Ativan
  4. Atiya
  5. Atiyah
  6. Atiyah-Singer index theorem
  7. Atizapán
  8. Atizapán de Zaragoza
  9. atizoram
  10. Atjehnese
  11. ATK

Source and license

Adapted from Wiktionary: Atiyah-Singer index theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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