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Hodge theory

theory that represents de Rham cohomology classes on compact Riemannian manifolds by harmonic forms
Intangible mathematical_concept Q1317202
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Hodge theory

Summary

Hodge theory is a mathematical concept[1]. It ranks in the top 10% of mathematical_concept entities by monthly Wikipedia readership (1,181 views/month).[2]

Key Facts

  • Hodge theory's instance of is recorded as mathematical concept[3].
  • W. V. D. Hodge is named after Hodge theory[4].
  • Hodge theory is a type of branch of mathematics[5].
  • Hodge theory's topic's main category is recorded as Category:Hodge theory[6].
  • Hodge theory's Stack Exchange tag is recorded as https://mathoverflow.net/tags/hodge-theory[7].
  • Hodge theory's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/hodge-theory[8].

Body

Definition and Type

Hodge theory's instance of is recorded as mathematical concept[3]. It is a type of branch of mathematics[5].

Origins

W. V. D. Hodge is named after Hodge theory[4].

Why It Matters

Hodge theory ranks in the top 10% of mathematical_concept entities by monthly Wikipedia readership (1,181 views/month).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[9] It is known by 6 alternative names across languages and contexts.[10]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Hodge theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/hodge-theory
MLA “Hodge theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hodge-theory.
BibTeX @misc{4ortxyz_hodge-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hodge theory}}, year = {2026}, url = {https://4ort.xyz/entity/hodge-theory}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hodge theory — https://4ort.xyz/entity/hodge-theory (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/hodge-theory · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 3d ago · Twofivesixbot bot · 2026-05-27 view diff on Wikidata ↗
    Instance of → mathematical concept
    Subclass of → —
    Aliases → —
    Subclass of → branch of mathematics
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007562977705171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.