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 18.6 points for quality (as of July 1, 2025). The article contains 5 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 41 registered users of English Wikipedia and edited by 97 registered Wikipedia users in all languages.

The article is cited 120 times in English Wikipedia and cited 267 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #29803 in May 2004
  • Global: #46634 in August 2003

The highest popularity rank from 2008:

  • Local (English): #74629 in May 2024
  • Global: #125141 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, 2025 (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
23.4303
2Korean (ko)
천-사이먼스 형식
18.8232
3English (en)
Chern–Simons form
18.6404
4Catalan (ca)
Forma de Chern–Simons
12.461
5German (de)
Chern-Simons-Form
5.5038
6Italian (it)
Forme di Chern-Simons
4.0425
7Japanese (ja)
チャーン・サイモンズ形式
2.5265
8Spanish (es)
Formas de Chern-Simons
1.3549
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
342 055
2Spanish (es)
Formas de Chern-Simons
16 504
3German (de)
Chern-Simons-Form
11 780
4Japanese (ja)
チャーン・サイモンズ形式
11 015
5Chinese (zh)
陳-西蒙斯形式
9 840
6Korean (ko)
천-사이먼스 형식
8 546
7Italian (it)
Forme di Chern-Simons
7 414
8Catalan (ca)
Forma de Chern–Simons
174
More...

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

Most popular in June 2025

The most popular language versions of the article "Chern–Simons form" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Chern–Simons form
2 014
2Chinese (zh)
陳-西蒙斯形式
141
3Japanese (ja)
チャーン・サイモンズ形式
76
4Spanish (es)
Formas de Chern-Simons
75
5German (de)
Chern-Simons-Form
58
6Italian (it)
Forme di Chern-Simons
44
7Korean (ko)
천-사이먼스 형식
31
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
41
2German (de)
Chern-Simons-Form
16
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
3
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 2025

Language versions of the article "Chern–Simons form" with the highest AI in June 2025
#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
120
2Chinese (zh)
陳-西蒙斯形式
100
3Spanish (es)
Formas de Chern-Simons
15
4Korean (ko)
천-사이먼스 형식
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
3
8Catalan (ca)
Forma de Chern–Simons
2
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
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:
#74629
05.2024
Global:
#125141
05.2024

AI rank trends

Best Rank English:
#29803
05.2004
Global:
#46634
08.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

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, Chern–Simons theory, Jim Simons, 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):

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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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information