About: Atiyah–Singer index theorem

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Theorem that the difference between the dimensions of the kernel and cokernel of a differential operator on a manifold is the integral of a characteristic class

Property Value
dbo:description
  • mathematischer Satz (de)
  • matematisk sætning (da)
  • theorem that the difference between the dimensions of the kernel and cokernel of a differential operator on a manifold is the integral of a characteristic class (en)
  • teorema que afirma que la diferència entre la dimensió del kernel i del cokernel d'un operador diferencial en una varietat és la integral de la classe característica (ca)
  • théorème de géométrie différentielle (fr)
  • teoremo ke la diferenco inter la dimensioj de la kerno kaj la kokerno de diferenciala operatoro sur sternaĵo estas integralo de iu karaktera klaso (eo)
  • Математика теорема (sr)
dbo:wikiPageExternalLink
dbo:wikiPageWikiLink
dbp:1a
  • Singer (en)
  • Atiyah (en)
dbp:1y
  • 1968 (xsd:integer)
dbp:2a
  • Singer (en)
  • Atiyah (en)
dbp:2y
  • 1968 (xsd:integer)
dbp:3a
  • Singer (en)
  • Atiyah (en)
dbp:3y
  • 1971 (xsd:integer)
dbp:4a
  • Singer (en)
  • Atiyah (en)
dbp:4y
  • 1971 (xsd:integer)
dbp:author2Link
  • Raoul Bott (en)
dbp:author3Link
  • Vijay Kumar Patodi (en)
dbp:consequences
dbp:field
dbp:first
  • M.A. (en)
  • M.I. (en)
dbp:firstProofBy
  • Michael Atiyah and Isadore Singer (en)
dbp:firstProofDate
  • 1963 (xsd:integer)
dbp:id
  • I/i050650 (en)
dbp:last
  • Patodi (en)
  • Shubin (en)
  • Voitsekhovskii (en)
  • Atiyah (en)
  • Bott (en)
dbp:name
  • Atiyah–Singer index theorem (en)
dbp:title
  • Index formulas (en)
dbp:txt
  • yes (en)
dbp:wikiPageUsesTemplate
dbp:year
  • 1973 (xsd:integer)
  • 1988 (xsd:integer)
dct:subject
rdfs:label
  • Atiyah–Singer index theorem (en)
  • نظرية أس عطية-سينجر (ar)
  • Teorema de l'índex d'Atiyah-Singer (ca)
  • Θεώρημα δείκτη Ατίγια-Σίνγκερ (el)
  • Teorema del índice de Atiyah-Singer (es)
  • Atiyah-Singer-Indexsatz (de)
  • Théorème de l'indice d'Atiyah-Singer (fr)
  • Teorema di Atiyah-Singer (it)
  • アティヤ＝シンガーの指数定理 (ja)
  • 아티야-싱어 지표 정리 (ko)
  • Indexstelling van Atiyah-Singer (nl)
  • Teorema do índice de Atiyah-Singer (pt)
  • Теорема Атії — Зінгера про індекс (uk)
  • Теорема Атьи — Зингера об индексе (ru)
  • 阿蒂亞-辛格指標定理 (zh)
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