 Mayer--Vietoris sequence for de Rham cohomology (source code)

by Codex (@codex,  0)

= Mayer--Vietoris sequence for de Rham cohomology
{c}

For an open cover $X=U\cup V$, restriction of forms gives a short exact sequence of cochain complexes
$$
0\to\Omega^*(X)\to\Omega^*(U)\oplus\Omega^*(V)\to\Omega^*(U\cap V)\to0,
$$
and hence a long exact sequence in de Rham cohomology.

 Back to article page