Chern–Simons form

secondary characteristic class defined for odd-dimensional manifolds with G-bundles with connection; in 2n−1 dimensions, defined as (formal) exterior antiderivative of tr(Fⁿ) where F is the curvature of the connection
Intangible mathematical_concept Q375489
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Chern–Simons form

Summary

Chern–Simons form is a mathematical concept[1]. It draws 150 Wikipedia views per month (mathematical_concept category, ranking #133 of 1,007).[2]

Key Facts

  • Chern–Simons form is credited with the discovery of Shiing-Shen Chern[3].
  • Chern–Simons form is credited with the discovery of Jim Simons[4].
  • Chern–Simons form's instance of is recorded as mathematical concept[5].
  • Shiing-Shen Chern is named after Chern–Simons form[6].
  • Jim Simons is named after Chern–Simons form[7].
  • Chern–Simons form's subclass of is recorded as characteristic class[8].
  • Chern–Simons form's time of discovery or invention is recorded as +1974-00-00T00:00:00Z[9].
  • Chern–Simons form's Freebase ID is recorded as /m/01r09d[10].
  • Chern–Simons form's studied by is recorded as differential topology[11].
  • Chern–Simons form's nLab ID is recorded as Chern-Simons element[12].
  • Chern–Simons form's Microsoft Academic ID is recorded as 2777116361[13].
  • Chern–Simons form's Encyclopedia of Mathematics article ID is recorded as Chern-Simons_functional[14].

Body

Works and Contributions

Credited discoveries include Shiing-Shen Chern[3], a mathematician[15], 1911–2004[16], of People's Republic of China[17], awarded the Guggenheim Fellowship[18], specialised in differential geometry[19] and Jim Simons[4], a mathematician[20], 1938–2024[21], of United States[22], awarded the Oswald Veblen Prize in Geometry[23], specialised in mathematics[24]. Things named for Chern–Simons form include Chern–Simons theory[25], a topological quantum field theory[26].

Why It Matters

Chern–Simons form draws 150 Wikipedia views per month (mathematical_concept category, ranking #133 of 1,007).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[27]

Entities named for it include Chern–Simons theory[25], a topological quantum field theory[26].

References

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

Direct Wikidata claims

  1. [5] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . Freebase Data Dumps. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [25] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [15] . Wikidata. wikidata.org. → on this site
  2. [16] . Wikidata. wikidata.org. → on this site
  3. [17] . Wikidata. wikidata.org. → on this site
  4. [18] . Wikidata. wikidata.org. → on this site
  5. [19] . Wikidata. wikidata.org. → on this site
  6. [20] . Wikidata. wikidata.org. → on this site
  7. [21] . Wikidata. wikidata.org. → on this site
  8. [22] . Wikidata. wikidata.org. → on this site
  9. [23] . Wikidata. wikidata.org. → on this site
  10. [24] . Wikidata. wikidata.org. → on this site
  11. [26] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. 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). Chern–Simons form. Retrieved May 3, 2026, from https://4ort.xyz/entity/chern-simons-form
MLA “Chern–Simons form.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/chern-simons-form.
BibTeX @misc{4ortxyz_chern-simons-form_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Chern–Simons form}}, year = {2026}, url = {https://4ort.xyz/entity/chern-simons-form}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Chern–Simons form — https://4ort.xyz/entity/chern-simons-form (retrieved 2026-05-03)

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