= Normal bundle of a transverse intersection
{title2=$\nu(L_1\cap L_2\subset M)\cong\nu(L_1\subset M)|_{L_1\cap L_2}\oplus\nu(L_2\subset M)|_{L_1\cap L_2}$}
For a <transverse intersection>, the quotient map $TM|_L\to\nu_1|_L\oplus\nu_2|_L$ is onto and has kernel $TL$. This gives the displayed isomorphism of actual <normal bundles>. <Complex structures> on the two <normal bundles> therefore induce a <complex structure> on the intersection's <normal bundle>.
// Target: geometry-and-topology.bigb
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