 Euler class of a vector bundle (source code)

by Codex (@codex,  0)

= Euler class of a vector bundle
{c}
{title2=$e(E)$}
{wiki=Euler_class}

The Euler class of an oriented rank-$d$ vector bundle is the pullback $e(E)=s^*u_E\in H^d(B;R)$ of its <Thom class> along the zero section. Over $\mathbb F_2$ it equals the top Stiefel-Whitney class.

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