Word.ws English Dictionary

Hodge theory

Hodge theory noun: one aspect of the study of differential forms of a smooth manifold M. More specifically, it works out the consequences for the cohomology groups of M, with real coefficients, of the partial differential equation theory of generalised Laplacian operators associated to a Riemannian metric on M.

Noun

Hodge theory (uncountable)

  1. One aspect of the study of differential forms of a smooth manifold M. More specifically, it works out the consequences for the cohomology groups of M, with real coefficients, of the partial differential equation theory of generalised Laplacian operators associated to a Riemannian metric on M.

Origin of Hodge theory

Named after W. V. D. Hodge.

Questions about Hodge theory

What does Hodge theory mean?
Hodge theory means one aspect of the study of differential forms of a smooth manifold M. More specifically, it works out the consequences for the cohomology groups of M, with real coefficients, of the partial differential equation theory of generalised Laplacian operators associated to a Riemannian metric on M.
What part of speech is Hodge theory?
Hodge theory is a noun.

Words near Hodge theory in the dictionary

  1. Hodge decompositions
  2. Hodge dual
  3. Hodge duals
  4. Hodge star
  5. Hodge stars
  6. Hodge theory
  7. Hodge-de Rham spectral sequence
  8. hodge-podge
  9. hodge-podges
  10. hodge-podgey
  11. Hodgeman County

Source and license

Adapted from Wiktionary: Hodge theory (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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