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- Atiyah–Singer_index_theorem abstract "In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data). It includes many other theorems, such as the Riemann–Roch theorem, as special cases, and has applications in theoretical physics.".
- Atiyah–Singer_index_theorem wikiPageID "324752".
- Atiyah–Singer_index_theorem wikiPageRevisionID "604350019".
- Atiyah–Singer_index_theorem author1Link "Michael Atiyah".
- Atiyah–Singer_index_theorem author2Link "Isadore Singer".
- Atiyah–Singer_index_theorem author2Link "Raoul Bott".
- Atiyah–Singer_index_theorem author3Link "Vijay Kumar Patodi".
- Atiyah–Singer_index_theorem authorlink "Edward Witten".
- Atiyah–Singer_index_theorem authorlink "Israel Gelfand".
- Atiyah–Singer_index_theorem first "Isadore".
- Atiyah–Singer_index_theorem first "Israel".
- Atiyah–Singer_index_theorem first "M.A.".
- Atiyah–Singer_index_theorem first "M.I.".
- Atiyah–Singer_index_theorem first "Michael".
- Atiyah–Singer_index_theorem id "I/i050650".
- Atiyah–Singer_index_theorem last "Atiyah".
- Atiyah–Singer_index_theorem last "Bott".
- Atiyah–Singer_index_theorem last "Gel'fand".
- Atiyah–Singer_index_theorem last "Patodi".
- Atiyah–Singer_index_theorem last "Shubin".
- Atiyah–Singer_index_theorem last "Singer".
- Atiyah–Singer_index_theorem last "Voitsekhovskii".
- Atiyah–Singer_index_theorem last "Witten".
- Atiyah–Singer_index_theorem title "Index formulas".
- Atiyah–Singer_index_theorem txt "yes".
- Atiyah–Singer_index_theorem year "1960".
- Atiyah–Singer_index_theorem year "1963".
- Atiyah–Singer_index_theorem year "1968".
- Atiyah–Singer_index_theorem year "1971".
- Atiyah–Singer_index_theorem year "1973".
- Atiyah–Singer_index_theorem year "1982".
- Atiyah–Singer_index_theorem year "1988".
- Atiyah–Singer_index_theorem subject Category:Differential_operators.
- Atiyah–Singer_index_theorem subject Category:Elliptic_partial_differential_equations.
- Atiyah–Singer_index_theorem subject Category:Theorems_in_differential_geometry.
- Atiyah–Singer_index_theorem comment "In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data). It includes many other theorems, such as the Riemann–Roch theorem, as special cases, and has applications in theoretical physics.".
- Atiyah–Singer_index_theorem label "Atiyah-Singer-Indexsatz".
- Atiyah–Singer_index_theorem label "Atiyah–Singer index theorem".
- Atiyah–Singer_index_theorem label "Indexstelling van Atiyah-Singer".
- Atiyah–Singer_index_theorem label "Teorema do índice de Atiyah-Singer".
- Atiyah–Singer_index_theorem label "Théorème de l'indice".
- Atiyah–Singer_index_theorem label "نظرية أس عطية-سينجر".
- Atiyah–Singer_index_theorem label "アティヤ=シンガーの指数定理".
- Atiyah–Singer_index_theorem label "阿蒂亞-辛格指標定理".
- Atiyah–Singer_index_theorem sameAs Atiyah%E2%80%93Singer_index_theorem.
- Atiyah–Singer_index_theorem sameAs Atiyah-Singer-Indexsatz.
- Atiyah–Singer_index_theorem sameAs Théorème_de_l'indice.
- Atiyah–Singer_index_theorem sameAs アティヤ=シンガーの指数定理.
- Atiyah–Singer_index_theorem sameAs 아티야-싱어_지표_정리.
- Atiyah–Singer_index_theorem sameAs Indexstelling_van_Atiyah-Singer.
- Atiyah–Singer_index_theorem sameAs Teorema_do_índice_de_Atiyah-Singer.
- Atiyah–Singer_index_theorem sameAs Q755991.
- Atiyah–Singer_index_theorem sameAs Q755991.
- Atiyah–Singer_index_theorem wasDerivedFrom Atiyah–Singer_index_theorem?oldid=604350019.