翻訳と辞書
Words near each other
・ Intersection (aeronautics)
・ Intersection (album)
・ Intersection (disambiguation)
・ Intersection (Euclidean geometry)
・ Intersection (novel)
・ Intersection (road)
・ Intersection (sculpture)
・ Intersection (set theory)
・ Intersection algorithm
・ Intersection assistant
・ Intersection capacity utilization
・ Intersection curve
・ Intersection for the Arts
・ Intersection for the Arts Literary Series
・ Intersection form
Intersection form (4-manifold)
・ Intersection graph
・ Intersection homology
・ Intersection Mountain
・ Intersection number
・ Intersection number (graph theory)
・ Intersection of a polyhedron with a line
・ Intersection syndrome
・ Intersection theorem
・ Intersection theory
・ Intersection theory (disambiguation)
・ Intersectionality
・ Intersections (1985–2005)
・ Intersections (arts festival)
・ Intersections (Dave House album)


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Intersection form (4-manifold) : ウィキペディア英語版
Intersection form (4-manifold)
In mathematics, the intersection form of an oriented compact 4-manifold is a special symmetric bilinear form on the 2nd cohomology group of the 4-manifold. It reflects much of the topology of the 4-manifolds, including information on the existence of a smooth structure.
==Definition==

The intersection form
:Q_M\colon H^2(M;\mathbb)\times H^2(M;\mathbb)\to \mathbb
is given by
:Q_M(a,b)=\langle a\smile b,()\rangle.
When the 4-manifold is also smooth, then in de Rham cohomology, if ''a'' and ''b'' are represented by 2-forms α and β, then the intersection form can be expressed by the integral
: Q(a,b)= \int_M \alpha \wedge \beta
where \wedge is the wedge product, see exterior algebra.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Intersection form (4-manifold)」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.