Chern–Simons form

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Chern–Simons form

Quality:

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. Article “Chern–Simons form” in English Wikipedia has 20.3 points for quality (as of July 1, 2026). The article contains 6 references and 5 sections.

This article has the best quality in Chinese Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Chern–Simons form”, its content was written by 43 registered users of English Wikipedia and edited by 101 registered Wikipedia users in all languages.

The article is cited 115 times in English Wikipedia and cited 261 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #29777 in May 2004
  • Global: #46630 in August 2003

The highest popularity rank from 2008:

  • Local (English): #74687 in May 2024
  • Global: #125150 in May 2024

There are 8 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2026 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
陳-西蒙斯形式
23.4049
2English (en)
Chern–Simons form
20.2881
3Korean (ko)
천-사이먼스 형식
18.8402
4Catalan (ca)
Forma de Chern–Simons
12.5139
5German (de)
Chern-Simons-Form
5.492
6Italian (it)
Forme di Chern-Simons
4.056
7Japanese (ja)
チャーン・サイモンズ形式
2.5103
8Spanish (es)
Formas de Chern-Simons
1.3388
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Chern–Simons form" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Chern–Simons form
348 829
2Spanish (es)
Formas de Chern-Simons
17 341
3German (de)
Chern-Simons-Form
12 322
4Chinese (zh)
陳-西蒙斯形式
11 823
5Japanese (ja)
チャーン・サイモンズ形式
11 673
6Korean (ko)
천-사이먼스 형식
8 913
7Italian (it)
Forme di Chern-Simons
7 856
8Catalan (ca)
Forma de Chern–Simons
213
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Chern–Simons form" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Chern–Simons form
1 506
2Chinese (zh)
陳-西蒙斯形式
121
3Spanish (es)
Formas de Chern-Simons
57
4Italian (it)
Forme di Chern-Simons
55
5German (de)
Chern-Simons-Form
42
6Japanese (ja)
チャーン・サイモンズ形式
31
7Korean (ko)
천-사이먼스 형식
29
8Catalan (ca)
Forma de Chern–Simons
6
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Chern–Simons form" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Chern–Simons form
43
2German (de)
Chern-Simons-Form
17
3Italian (it)
Forme di Chern-Simons
15
4Japanese (ja)
チャーン・サイモンズ形式
8
5Spanish (es)
Formas de Chern-Simons
7
6Chinese (zh)
陳-西蒙斯形式
5
7Korean (ko)
천-사이먼스 형식
4
8Catalan (ca)
Forma de Chern–Simons
2
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2026

Language versions of the article "Chern–Simons form" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Catalan (ca)
Forma de Chern–Simons
0
2German (de)
Chern-Simons-Form
0
3English (en)
Chern–Simons form
0
4Spanish (es)
Formas de Chern-Simons
0
5Italian (it)
Forme di Chern-Simons
0
6Japanese (ja)
チャーン・サイモンズ形式
0
7Korean (ko)
천-사이먼스 형식
0
8Chinese (zh)
陳-西蒙斯形式
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Chern–Simons form" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Chern–Simons form
115
2Chinese (zh)
陳-西蒙斯形式
98
3Korean (ko)
천-사이먼스 형식
14
4Spanish (es)
Formas de Chern-Simons
12
5German (de)
Chern-Simons-Form
8
6Japanese (ja)
チャーン・サイモンズ形式
7
7Italian (it)
Forme di Chern-Simons
4
8Catalan (ca)
Forma de Chern–Simons
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Forma de Chern–Simons
deGerman
Chern-Simons-Form
enEnglish
Chern–Simons form
esSpanish
Formas de Chern-Simons
itItalian
Forme di Chern-Simons
jaJapanese
チャーン・サイモンズ形式
koKorean
천-사이먼스 형식
zhChinese
陳-西蒙斯形式

Popularity rank trends

Best Rank English:
#74687
05.2024
Global:
#125150
05.2024

AI rank trends

Best Rank English:
#29777
05.2004
Global:
#46630
08.2003

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Chern–Simons form from Wikipedia articles about Jim Simons, Chern–Simons theory, Shiing-Shen Chern, Pontryagin class and Curvature form. Whereas reading the article about Chern–Simons form people most often go to Wikipedia articles on Shiing-Shen Chern, Jim Simons, Chern–Simons theory, Characteristic class and Topological quantum field theory.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information