| dbo:abstract |
In noncommutative geometry, a Fredholm module is a mathematical structure used to quantize the differential calculus. Such a module is, up to trivial changes, the same as the abstract elliptic operator introduced by . (en) En géométrie non commutative, un module de Fredholm est une structure mathématique utilisée pour quantifier le calcul différentiel. Un tel module est, à quelques détails près, identique à l’opérateur elliptique abstrait introduit par Michael Atiyah en 1970. (fr) 비가환 기하학과 함수해석학에서 프레드홀름 가군(영어: Fredholm module)은 위상다양체 위에 존재하는 미분 구조를 대수적으로 나타내는 구조다. (ko) |
| dbo:wikiPageExternalLink |
https://books.google.com/books%3Fisbn=0198532776%7Cmr= https://archive.org/details/noncommutativege0000conn https://planetmath.org/fredholmmodule |
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20986604 (xsd:integer) |
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1790 (xsd:nonNegativeInteger) |
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931451163 (xsd:integer) |
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dbr:Commutator dbr:Compact_operator dbc:Noncommutative_geometry dbr:Hilbert_space dbr:Academic_Press dbr:Differential_calculus dbc:Mathematical_quantization dbr:Self-adjoint_operator dbr:PlanetMath dbr:Noncommutative_geometry dbr:Involutive_algebra |
| dbp:last |
Atiyah (en) |
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dbt:Citation dbt:Harvtxt dbt:Harvs |
| dbp:year |
1988 (xsd:integer) |
| dct:subject |
dbc:Noncommutative_geometry dbc:Mathematical_quantization |
| gold:hypernym |
dbr:Structure |
| rdf:type |
dbo:Building |
| rdfs:comment |
In noncommutative geometry, a Fredholm module is a mathematical structure used to quantize the differential calculus. Such a module is, up to trivial changes, the same as the abstract elliptic operator introduced by . (en) En géométrie non commutative, un module de Fredholm est une structure mathématique utilisée pour quantifier le calcul différentiel. Un tel module est, à quelques détails près, identique à l’opérateur elliptique abstrait introduit par Michael Atiyah en 1970. (fr) 비가환 기하학과 함수해석학에서 프레드홀름 가군(영어: Fredholm module)은 위상다양체 위에 존재하는 미분 구조를 대수적으로 나타내는 구조다. (ko) |
| rdfs:label |
Module de Fredholm (fr) Fredholm module (en) 프레드홀름 가군 (ko) |
| owl:sameAs |
freebase:Fredholm module wikidata:Fredholm module dbpedia-fr:Fredholm module dbpedia-ko:Fredholm module https://global.dbpedia.org/id/4k8Y7 |
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wikipedia-en:Fredholm_module?oldid=931451163&ns=0 |
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wikipedia-en:Fredholm_module |
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dbr:Erik_Ivar_Fredholm dbr:Michael_Atiyah |
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dbr:Fredholm |
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dbr:Spectral_triple dbr:K-homology dbr:Erik_Ivar_Fredholm dbr:KK-theory dbr:Fredholm dbr:Michael_Atiyah |
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dbr:Erik_Ivar_Fredholm dbr:Michael_Atiyah |
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wikipedia-en:Fredholm_module |