skärningsprodukten
Skärningsprodukten, often translated as intersection product or cap product, is a fundamental concept in algebraic topology and differential geometry. It defines a way to combine a $k$-form and an $l$-form on a manifold to produce an $(k-l)$-form, provided $k \geq l$. This operation is distinct from the wedge product, which combines two forms of any degree to produce a form of higher degree.
The definition of the skärningsprodukten involves integrating one form over the boundary of a manifold whose
The skärningsprodukten possesses several important properties. It is bilinear and satisfies a specific compatibility relation with