Atiyah–Singer index theorem
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
| rdfs:label |
"Atiyah–Singer index theorem"@en
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skos:alt |
"Atiyah-Singer-Indextheorem"@de
"Satz von Hirzebruch-Riemann-Roch"@de
"Signatursatz von Hirzebruch"@de
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| schema:description |
"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
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schema:date |
"2026-09-06T17:40:28+00:00"^^xsd:dateTime |
| schema:version | 2541223429 |
| wikibase:identifiers | 7 |
| wikibase:sitelinks | 23 |
| wikibase:statements | 15 |
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| wd:statement/Q755991-8e9f6063-43d5-effe-398b-afb38078c8de | |
| p:P2534 | wd:statement/Q755991-d4b8fe24-460e-ea4a-5757-55dc349ffc0a |
| p:P279 | wd:statement/Q755991-8391c7cd-45a6-a5af-7206-9d4e04a5d239 |
| p:P2812 | wd:statement/Q755991-6d6f3386-4ae7-7982-5f27-bc4f5ade6fab |
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| p:P4215 | wd:statement/Q755991-6bae5db2-4fc9-d880-0ef7-5ffc99f32e08 |
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| p:P6104 | wd:statement/Q755991-2C74D4DD-0B0F-4252-89A1-E4C336F70581 |
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| p:P646 | wd:statement/Q755991-4A366F97-7DE1-4274-93D8-1852E2433E7E |
| p:P8313 | wd:statement/Q755991-a4913232-4f9f-98e1-8463-f1ff37fa38e0 |
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p:direct- |
<https:/ |
| wdt:P10283 | "C197617374" |
| wdt:P10376 | "mathematics/atiyah-singer-index-theorem" |
| wdt:P1318 | Michael Atiyah |
| Isadore Singer | |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>dim</mi><mo>⁡</mo><mi>ker</mi><mo>⁡</mo><mi>D</mi><mo stretchy="false">−</mo><mi>dim</mi><mo>⁡</mo><mi data-mjx-texclass="OP" mathvariant="normal">coker</mi><mo>⁡</mo><mi>D</mi><mo stretchy="false">=</mo><munder><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></munder><mi data-mjx-texclass="OP" mathvariant="normal">ch</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>D</mi><mo stretchy="false">)</mo><mi data-mjx-texclass="OP" mathvariant="normal">Td</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | wd:Q114213185 |
| wdt:P2812 | "Atiyah-SingerIndexTheorem" |
| wdt:P31 | theorem |
| wdt:P361 | list of theorems |
| wdt:P4215 | "Atiyah-Singer index theorem" |
| wdt:P5008 | Wikipedia:Vital articles/Level/4 |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "197617374" |
| wdt:P646 | "/m/01v_mw" |
| wdt:P8313 | "Atiyah-Singers_indekssætning" |
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