About: Intersection form of a 4-manifold

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In mathematics, the intersection form of an oriented compact 4-manifold is a special symmetric bilinear form on the 2nd (co)homology group of the 4-manifold. It reflects much of the topology of the 4-manifolds, including information on the existence of a smooth structure.

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rdfs:label	Intersection form of a 4-manifold (en) 交叉形式 (4次元多様体) (ja) Форма пересечений (ru)
rdfs:comment	In mathematics, the intersection form of an oriented compact 4-manifold is a special symmetric bilinear form on the 2nd (co)homology group of the 4-manifold. It reflects much of the topology of the 4-manifolds, including information on the existence of a smooth structure. (en) 数学において、向き付けられたコンパクト4次元多様体上の交叉形式（こうさけいしき、英: intersection form）は、4次元多様体の第2コホモロジー群上の特別な対称双線型形式である。この形式は、の存在に関する情報を含む4次元多様体のトポロジーの多くを反映している。 (ja) Форма пересечений ориентированного компактного 4-мерного многообразия — определённая симметричная билинейная форма на 2-й группе когомологий многообразия. Эта форма отражает большую часть топологии многообразия, в том числе информацию о наличии гладкой структуры. (ru)
dcterms:subject	4-manifolds Geometric topology
Wikipage page ID	19057150 (xsd:integer)
Wikipage revision ID	1108381820 (xsd:integer)
Link from a Wikipage to another Wikipage	Bilinear form De Rham cohomology Cup product Donaldson's theorem E8 manifold 4-manifolds Mathematics Smooth structure Poincaré duality American Mathematical Society 4-manifold Exterior algebra Simply connected space Geometric topology Poincare duality Michael Freedman Unimodular form Rokhlin's theorem Spin structure Kirby–Siebenmann invariant
Link from a Wikipage to an external page	http://www.mccme.ru/circles/oim/home/combtop13.htm%23photo http://www.map.mpim-bonn.mpg.de/Intersection_form http://www.map.mpim-bonn.mpg.de/Intersection_number_of_immersions http://www.map.mpim-bonn.mpg.de/Linking_form
sameAs	Intersection form of a 4-manifold Intersection form of a 4-manifold Intersection form of a 4-manifold Intersection form of a 4-manifold
dbp:wikiPageUsesTemplate	dbt:Citation dbt:See dbt:Short_description
has abstract	In mathematics, the intersection form of an oriented compact 4-manifold is a special symmetric bilinear form on the 2nd (co)homology group of the 4-manifold. It reflects much of the topology of the 4-manifolds, including information on the existence of a smooth structure. (en) 数学において、向き付けられたコンパクト4次元多様体上の交叉形式（こうさけいしき、英: intersection form）は、4次元多様体の第2コホモロジー群上の特別な対称双線型形式である。この形式は、の存在に関する情報を含む4次元多様体のトポロジーの多くを反映している。 (ja) Форма пересечений ориентированного компактного 4-мерного многообразия — определённая симметричная билинейная форма на 2-й группе когомологий многообразия. Эта форма отражает большую часть топологии многообразия, в том числе информацию о наличии гладкой структуры. (ru)
prov:wasDerivedFrom	wikipedia-en:Intersection_form_of_a_4-manifold?oldid=1108381820&ns=0
page length (characters) of wiki page	6348 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Intersection_form_of_a_4-manifold
is Link from a Wikipage to another Wikipage of	Intersection form (4-manifold) Michael Freedman
is Wikipage redirect of	Intersection form (4-manifold)
is foaf:primaryTopic of	wikipedia-en:Intersection_form_of_a_4-manifold

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