Pontryagin class

characteristic class for real vector bundles, whose degree is a multiple of four
rdfs:label
"Pontryagin class"@en
skos:altLabel
"Pontrjagin-a klaso"@eo
"klaso de Pontryagin"@eo
"pontrjagina klaso"@eo
schema:description
"characteristic class for real vector bundles, whose degree is a multiple of four"@en
schema:dateModified "2026-08-27T13:23:54+00:00"^^xsd:dateTime
schema:version 2537074426
wikibase:identifiers 4
wikibase:sitelinks 9
wikibase:statements 18
p:P138 wd:statement/Q40007-33df4d4b-4b9f-febb-0243-0386833da4e9
p:P2534 wd:statement/Q40007-1c104a1c-43c3-dbd1-2c4f-60ad5659130b
p:P279 wd:statement/Q40007-7c5abca3-4f7b-dce7-eda3-34ef562cf372
p:P2812 wd:statement/Q40007-BDEA5EB2-20A9-4669-908E-ABC62E7F1E26
p:P31 wd:statement/Q40007-f067ad46-417e-ff7c-f748-1994b26463e7
p:P4215 wd:statement/Q40007-9ACFBF1D-2236-4807-B10E-A7C968178C0B
p:P61 wd:statement/Q40007-7338bce4-42c1-b28b-5d61-4f35ae776631
p:P6104 wd:statement/Q40007-1A786BAA-5E65-4E47-8C47-EC7E932DFD11
p:P6366 wd:statement/Q40007-6F546639-2AE2-4289-9CC8-6B0A920C9504
p:P646 wd:statement/Q40007-BD51CEE8-E98E-47D2-9D52-0A24C08D29BB
p:P7235 wd:statement/Q40007-10320d40-401a-1a75-d981-bded87beca92
wd:statement/Q40007-322ff737-4c56-47f0-08fd-f23848fe1afd
wd:statement/Q40007-62fcf2dc-490d-c410-f015-68537b86a290
wd:statement/Q40007-90c9793a-42a0-25e5-ccdf-95b39eabc593
wd:statement/Q40007-a0b34c75-4cdb-24f7-8fc1-e97b6884c0a1
wd:statement/Q40007-a603922f-413e-cdf8-4998-4edc4e5779c0
wd:statement/Q40007-b78f2f95-45c6-f5d2-84cb-57fca261a467
wd:statement/Q40007-ff008bc1-4552-0930-d028-f47e83a2fafb
p:direct-normalized/P6366 <https://makg.org/entity/156840345>
wdt:P138 Lev Pontryagin
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"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>E</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>k</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>E</mi><mo stretchy="false">⊗</mo><mrow data-mjx-texclass="ORD"><mi>ℂ</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">∈</mo><msup><mi data-mjx-texclass="OP" mathvariant="normal">H</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>k</mi></mrow></mrow></msup><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 characteristic class
wdt:P2812 "PontryaginClass"
wdt:P31 mathematical concept
wdt:P4215 "Pontryagin class"
wdt:P61 Lev Pontryagin
wdt:P6104 WikiProject Mathematics
wdt:P6366 "156840345"
wdt:P646 "/m/0225nj"
wdt:P7235 "<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>E</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>M</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>c</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>k</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>p</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mo stretchy="false">−</mo><mn>1</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mo stretchy="false">⊗</mo><mrow data-mjx-texclass="ORD"><mi>ℂ</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><msup><mi data-mjx-texclass="OP" mathvariant="normal">H</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false">∙</mo></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
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