 Stiefel–Whitney class of the underlying real bundle of a complex line (source code)

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= Stiefel–Whitney class of the underlying real bundle of a complex line
{c}
{title2=$w(L_{\mathbb R})=1+(c_1(L)\bmod2)$}

A <complex line bundle> has a canonically oriented underlying real <vector bundle> of rank two. Its first <Stiefel–Whitney class> vanishes, and its second <Stiefel–Whitney class> is the mod-two reduction of its <First Chern class>.

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